2520727782400 has 99 divisors (see below), whose sum is σ = 6248982203821. Its totient is φ = 1008189501440.

The previous prime is 2520727782373. The next prime is 2520727782407. The reversal of 2520727782400 is 42877270252.

The square root of 2520727782400 is 1587680.

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., 907462001664 + 1613265780736 = 952608^2 + 1270144^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2520727782407) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 254023839 + ... + 254033761.

Almost surely, 2^{2520727782400} is an apocalyptic number.

2520727782400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2520727782400 is the 1587680-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2520727782400

2520727782400 is an abundant number, since it is smaller than the sum of its proper divisors (3728254421421).

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

2520727782400 is an frugal number, since it uses more digits than its factorization.

2520727782400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19876 (or 9930 counting only the distinct ones).

The product of its (nonzero) digits is 878080, while the sum is 46.

The spelling of 2520727782400 in words is "two trillion, five hundred twenty billion, seven hundred twenty-seven million, seven hundred eighty-two thousand, four hundred".