2520575367424 has 81 divisors (see below), whose sum is σ = 5110970670561. Its totient is φ = 1240639150080.

The previous prime is 2520575367413. The next prime is 2520575367463. The reversal of 2520575367424 is 4247635750252.

It is a happy number.

The square root of 2520575367424 is 1587632.

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

It can be written as a sum of positive squares in only one way, i.e., 1079038957824 + 1441536409600 = 1038768^2 + 1200640^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1701940764 + ... + 1701942244.

Almost surely, 2^{2520575367424} is an apocalyptic number.

2520575367424 is the 1587632-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2520575367424

2520575367424 is an abundant number, since it is smaller than the sum of its proper divisors (2590395303137).

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

2520575367424 is an frugal number, since it uses more digits than its factorization.

2520575367424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3112 (or 1550 counting only the distinct ones).

The product of its (nonzero) digits is 14112000, while the sum is 52.

The spelling of 2520575367424 in words is "two trillion, five hundred twenty billion, five hundred seventy-five million, three hundred sixty-seven thousand, four hundred twenty-four".