2520725702400 has 972 divisors, whose sum is σ = 9439528847112. Its totient is φ = 666382049280.

The previous prime is 2520725702393. The next prime is 2520725702477. The reversal of 2520725702400 is 42075270252.

2520725702400 is a `hidden beast` number, since 2 + 520 + 7 + 25 + 70 + 2 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (972).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 7264339027 + ... + 7264339373.

Almost surely, 2^{2520725702400} is an apocalyptic number.

2520725702400 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 2520725702400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4719764423556).

2520725702400 is an abundant number, since it is smaller than the sum of its proper divisors (6918803144712).

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

2520725702400 is an frugal number, since it uses more digits than its factorization.

2520725702400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 570 (or 530 counting only the distinct ones).

The product of its (nonzero) digits is 78400, while the sum is 36.

The spelling of 2520725702400 in words is "two trillion, five hundred twenty billion, seven hundred twenty-five million, seven hundred two thousand, four hundred".