2509271428624 has 75 divisors (see below), whose sum is σ = 5136488810237. Its totient is φ = 1187518753152.

The previous prime is 2509271428483. The next prime is 2509271428627. The reversal of 2509271428624 is 4268241729052.

The square root of 2509271428624 is 1584068.

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., 713585667600 + 1795685761024 = 844740^2 + 1340032^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2509271428627) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 2287393644 + ... + 2287394740.

Almost surely, 2^{2509271428624} is an apocalyptic number.

2509271428624 is the 1584068-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2509271428624

2509271428624 is an abundant number, since it is smaller than the sum of its proper divisors (2627217381613).

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

2509271428624 is an frugal number, since it uses more digits than its factorization.

2509271428624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2278 (or 1118 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 52.

The spelling of 2509271428624 in words is "two trillion, five hundred nine billion, two hundred seventy-one million, four hundred twenty-eight thousand, six hundred twenty-four".