2250936097344 has 189 divisors, whose sum is σ = 7093008053859. Its totient is φ = 681981822720.

The previous prime is 2250936097339. The next prime is 2250936097351. The reversal of 2250936097344 is 4437906390522.

The square root of 2250936097344 is 1500312.

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

2250936097344 is a `hidden beast` number, since 2 + 2 + 509 + 3 + 6 + 0 + 97 + 3 + 44 = 666.

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, 396079527 + ... + 396085209.

Almost surely, 2^{2250936097344} is an apocalyptic number.

2250936097344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

2250936097344 is the 1500312-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2250936097344

2250936097344 is an abundant number, since it is smaller than the sum of its proper divisors (4842071956515).

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

2250936097344 is an frugal number, since it uses more digits than its factorization.

2250936097344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11406 (or 5699 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 54.

The spelling of 2250936097344 in words is "two trillion, two hundred fifty billion, nine hundred thirty-six million, ninety-seven thousand, three hundred forty-four".