2251608287296 has 63 divisors (see below), whose sum is σ = 4555215507661. Its totient is φ = 1104250444544.

The previous prime is 2251608287239. The next prime is 2251608287333. The reversal of 2251608287296 is 6927828061522.

The square root of 2251608287296 is 1500536.

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., 1623177921600 + 628430365696 = 1274040^2 + 792736^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2251608287296.

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, 636225495 + ... + 636229033.

Almost surely, 2^{2251608287296} is an apocalyptic number.

2251608287296 is the 1500536-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2251608287296

2251608287296 is an abundant number, since it is smaller than the sum of its proper divisors (2303607220365).

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

2251608287296 is an frugal number, since it uses more digits than its factorization.

2251608287296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7196 (or 3594 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 58.

The spelling of 2251608287296 in words is "two trillion, two hundred fifty-one billion, six hundred eight million, two hundred eighty-seven thousand, two hundred ninety-six".