2521264400 has 60 divisors (see below), whose sum is σ = 6070444800. Its totient is φ = 1006323840.

The previous prime is 2521264363. The next prime is 2521264411. The reversal of 2521264400 is 44621252.

It is a self number, because there is not a number n which added to its sum of digits gives 2521264400.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 185021 + ... + 198179.

It is an arithmetic number, because the mean of its divisors is an integer number (101174080).

Almost surely, 2^2521264400 is an apocalyptic number.

2521264400 is a gapful number since it is divisible by the number (20) 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 2521264400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3035222400).

2521264400 is an abundant number, since it is smaller than the sum of its proper divisors (3549180400).

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

2521264400 is a wasteful number, since it uses less digits than its factorization.

2521264400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13656 (or 13645 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

The square root of 2521264400 is about 50212.1937381748. The cubic root of 2521264400 is about 1361.0459802176.

Adding to 2521264400 its reverse (44621252), we get a palindrome (2565885652).

The spelling of 2521264400 in words is "two billion, five hundred twenty-one million, two hundred sixty-four thousand, four hundred".