2884976640 has 720 divisors, whose sum is σ = 12595110528. Its totient is φ = 594542592.

The previous prime is 2884976629. The next prime is 2884976657. The reversal of 2884976640 is 466794882.

It is a tau number, because it is divible by the number of its divisors (720).

It is a zygodrome in base 4.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 67092459 + ... + 67092501.

Almost surely, 2^2884976640 is an apocalyptic number.

2884976640 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 2884976640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6297555264).

2884976640 is an abundant number, since it is smaller than the sum of its proper divisors (9710133888).

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

2884976640 is a wasteful number, since it uses less digits than its factorization.

2884976640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The square root of 2884976640 is about 53711.9785522745. The cubic root of 2884976640 is about 1423.5763584293.

The spelling of 2884976640 in words is "two billion, eight hundred eighty-four million, nine hundred seventy-six thousand, six hundred forty".