2900513264 has 90 divisors (see below), whose sum is σ = 6386856840. Its totient is φ = 1275067200.

The previous prime is 2900513257. The next prime is 2900513311. The reversal of 2900513264 is 4623150092.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 2900513264.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1859717 + ... + 1861275.

It is an arithmetic number, because the mean of its divisors is an integer number (70965076).

Almost surely, 2^2900513264 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 2900513264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3193428420).

2900513264 is an abundant number, since it is smaller than the sum of its proper divisors (3486343576).

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

2900513264 is a wasteful number, since it uses less digits than its factorization.

2900513264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1651 (or 1603 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 32.

The square root of 2900513264 is about 53856.4133971062. The cubic root of 2900513264 is about 1426.1272728243.

The spelling of 2900513264 in words is "two billion, nine hundred million, five hundred thirteen thousand, two hundred sixty-four".