2900805264 has 320 divisors, whose sum is σ = 10027929600. Its totient is φ = 784954368.

The previous prime is 2900805209. The next prime is 2900805277. The reversal of 2900805264 is 4625080092.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12449692 + ... + 12449924.

It is an arithmetic number, because the mean of its divisors is an integer number (31337280).

Almost surely, 2^2900805264 is an apocalyptic number.

2900805264 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 2900805264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5013964800).

2900805264 is an abundant number, since it is smaller than the sum of its proper divisors (7127124336).

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

2900805264 is a wasteful number, since it uses less digits than its factorization.

2900805264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459 (or 447 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 2900805264 is about 53859.1242409306. The cubic root of 2900805264 is about 1426.1751281695.

The spelling of 2900805264 in words is "two billion, nine hundred million, eight hundred five thousand, two hundred sixty-four".