2521044864 has 128 divisors (see below), whose sum is σ = 8013079200. Its totient is φ = 775692288.

The previous prime is 2521044863. The next prime is 2521044917. The reversal of 2521044864 is 4684401252.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×2521044864³ (a number of 29 digits) contains 333 as substring.

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 (2521044863) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16872 + ... + 72984.

Almost surely, 2^2521044864 is an apocalyptic number.

2521044864 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 2521044864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4006539600).

2521044864 is an abundant number, since it is smaller than the sum of its proper divisors (5492034336).

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

2521044864 is a wasteful number, since it uses less digits than its factorization.

2521044864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56149 (or 56131 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 2521044864 is about 50210.0076080456. The cubic root of 2521044864 is about 1361.0064752687.

The spelling of 2521044864 in words is "two billion, five hundred twenty-one million, forty-four thousand, eight hundred sixty-four".