2002000000 has 448 divisors, whose sum is σ = 6693664320. Its totient is φ = 576000000.

The previous prime is 2001999997. The next prime is 2002000027. The reversal of 2002000000 is 2002.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (4).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 153999994 + ... + 154000006.

It is an arithmetic number, because the mean of its divisors is an integer number (14941215).

Almost surely, 2^2002000000 is an apocalyptic number.

2002000000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2002000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3346832160).

2002000000 is an abundant number, since it is smaller than the sum of its proper divisors (4691664320).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2002000000 is an frugal number, since it uses more digits than its factorization.

2002000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 4.

The square root of 2002000000 is about 44743.7146423942. The cubic root of 2002000000 is about 1260.3408836647.

Adding to 2002000000 its reverse (2002), we get a palindrome (2002002002).

Multiplying 2002000000 by its reverse (2002), we get a square (4008004000000 = 2002000²).

2002000000 divided by its reverse (2002) gives a 6-th power (1000000 = 10⁶).

It can be divided in two parts, 200 and 2000000, that multiplied together give a square (400000000 = 20000²).

The spelling of 2002000000 in words is "two billion, two million", and thus it is an aban number, an eban number, and an uban number.