2896979904 has 672 divisors, whose sum is σ = 11183477760. Its totient is φ = 722608128.

The previous prime is 2896979887. The next prime is 2896979933. The reversal of 2896979904 is 4099796982.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 32550292 + ... + 32550380.

It is an arithmetic number, because the mean of its divisors is an integer number (16642080).

Almost surely, 2^2896979904 is an apocalyptic number.

2896979904 is a gapful number since it is divisible by the number (24) 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 2896979904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5591738880).

2896979904 is an abundant number, since it is smaller than the sum of its proper divisors (8286497856).

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

2896979904 is a wasteful number, since it uses less digits than its factorization.

2896979904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 17635968, while the sum is 63.

The square root of 2896979904 is about 53823.5998796067. The cubic root of 2896979904 is about 1425.5479421864.

The spelling of 2896979904 in words is "two billion, eight hundred ninety-six million, nine hundred seventy-nine thousand, nine hundred four".