2890113264 has 80 divisors (see below), whose sum is σ = 8303114400. Its totient is φ = 962509824.

The previous prime is 2890113257. The next prime is 2890113269. The reversal of 2890113264 is 4623110982.

2890113264 is a `hidden beast` number, since 289 + 0 + 113 + 264 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2890113269) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 641002 + ... + 645494.

It is an arithmetic number, because the mean of its divisors is an integer number (103788930).

Almost surely, 2^2890113264 is an apocalyptic number.

2890113264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2890113264 is an abundant number, since it is smaller than the sum of its proper divisors (5413001136).

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

2890113264 is a wasteful number, since it uses less digits than its factorization.

2890113264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5999 (or 5987 counting only the distinct ones).

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

The square root of 2890113264 is about 53759.7736602378. The cubic root of 2890113264 is about 1424.4207374148.

The spelling of 2890113264 in words is "two billion, eight hundred ninety million, one hundred thirteen thousand, two hundred sixty-four".