2521314304000 has 224 divisors, whose sum is σ = 6411686791536. Its totient is φ = 989475635200.

The previous prime is 2521314303931. The next prime is 2521314304021. The reversal of 2521314304000 is 4034131252.

It can be written as a sum of positive squares in 8 ways, for example, as 540471988224 + 1980842315776 = 735168^2 + 1407424^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

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, 54248772 + ... + 54295228.

Almost surely, 2^{2521314304000} is an apocalyptic number.

2521314304000 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 2521314304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3205843395768).

2521314304000 is an abundant number, since it is smaller than the sum of its proper divisors (3890372487536).

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

2521314304000 is an frugal number, since it uses more digits than its factorization.

2521314304000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46551 (or 46517 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

Adding to 2521314304000 its reverse (4034131252), we get a palindrome (2525348435252).

The spelling of 2521314304000 in words is "two trillion, five hundred twenty-one billion, three hundred fourteen million, three hundred four thousand".