2505281164864 has 63 divisors (see below), whose sum is σ = 5048434631457. Its totient is φ = 1233526593024.

The previous prime is 2505281164849. The next prime is 2505281164871. The reversal of 2505281164864 is 4684611825052.

The square root of 2505281164864 is 1582808.

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., 2040440833600 + 464840331264 = 1428440^2 + 681792^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 848383612 + ... + 848386564.

It is an arithmetic number, because the mean of its divisors is an integer number (80133883039).

Almost surely, 2^{2505281164864} is an apocalyptic number.

2505281164864 is the 1582808-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2505281164864

2505281164864 is an abundant number, since it is smaller than the sum of its proper divisors (2543153466593).

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

2505281164864 is an frugal number, since it uses more digits than its factorization.

2505281164864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6052 (or 3022 counting only the distinct ones).

The product of its (nonzero) digits is 3686400, while the sum is 52.

The spelling of 2505281164864 in words is "two trillion, five hundred five billion, two hundred eighty-one million, one hundred sixty-four thousand, eight hundred sixty-four".