2521299379600 has 45 divisors (see below), whose sum is σ = 6057498057123. Its totient is φ = 1008507048960.

The previous prime is 2521299379589. The next prime is 2521299379609. The reversal of 2521299379600 is 69739921252.

The square root of 2521299379600 is 1587860.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 622402704 + 2520676976896 = 24948^2 + 1587664^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2521299379609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 31717504 + ... + 31796896.

Almost surely, 2^{2521299379600} is an apocalyptic number.

2521299379600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2521299379600 is the 1587860-th square number.

It is an amenable number.

2521299379600 is an abundant number, since it is smaller than the sum of its proper divisors (3536198677523).

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

2521299379600 is an frugal number, since it uses more digits than its factorization.

2521299379600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158804 (or 79400 counting only the distinct ones).

The product of its (nonzero) digits is 3674160, while the sum is 55.

The spelling of 2521299379600 in words is "two trillion, five hundred twenty-one billion, two hundred ninety-nine million, three hundred seventy-nine thousand, six hundred".