2002929408 has 108 divisors (see below), whose sum is σ = 5791207968. Its totient is φ = 665763840.

The previous prime is 2002929377. The next prime is 2002929421. The reversal of 2002929408 is 8049292002.

2002929408 is a `hidden beast` number, since 200 + 29 + 29 + 408 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 992016 + ... + 994032.

It is an arithmetic number, because the mean of its divisors is an integer number (53622296).

Almost surely, 2^2002929408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2002929408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2895603984).

2002929408 is an abundant number, since it is smaller than the sum of its proper divisors (3788278560).

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

2002929408 is a wasteful number, since it uses less digits than its factorization.

2002929408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2470 (or 2453 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 2002929408 is about 44754.0993429652. The cubic root of 2002929408 is about 1260.5358869416.

The spelling of 2002929408 in words is "two billion, two million, nine hundred twenty-nine thousand, four hundred eight".