2582513280400 has 135 divisors (see below), whose sum is σ = 6549775888611. Its totient is φ = 978405200640.

The previous prime is 2582513280397. The next prime is 2582513280427. The reversal of 2582513280400 is 40823152852.

The square root of 2582513280400 is 1607020.

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

It can be written as a sum of positive squares in 4 ways, for example, as 780303689104 + 1802209591296 = 883348^2 + 1342464^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 610665486 + ... + 610669714.

Almost surely, 2^{2582513280400} is an apocalyptic number.

2582513280400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2582513280400 is the 1607020-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2582513280400

2582513280400 is an abundant number, since it is smaller than the sum of its proper divisors (3967262608211).

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

2582513280400 is an frugal number, since it uses more digits than its factorization.

2582513280400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8514 (or 4255 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 40.

The spelling of 2582513280400 in words is "two trillion, five hundred eighty-two billion, five hundred thirteen million, two hundred eighty thousand, four hundred".