2241631795264 has 189 divisors, whose sum is σ = 4755823707663. Its totient is φ = 1048237242624.

The previous prime is 2241631795261. The next prime is 2241631795339. The reversal of 2241631795264 is 4625971361422.

The square root of 2241631795264 is 1497208.

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

It is a super-2 number, since 2×2241631795264² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2241631795261) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 21763415437 + ... + 21763415539.

Almost surely, 2^{2241631795264} is an apocalyptic number.

2241631795264 is the 1497208-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2241631795264

2241631795264 is an abundant number, since it is smaller than the sum of its proper divisors (2514191912399).

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

2241631795264 is an frugal number, since it uses more digits than its factorization.

2241631795264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422 (or 207 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 52.

The spelling of 2241631795264 in words is "two trillion, two hundred forty-one billion, six hundred thirty-one million, seven hundred ninety-five thousand, two hundred sixty-four".