2251073760624 has 240 divisors, whose sum is σ = 6961822227360. Its totient is φ = 674591293440.

The previous prime is 2251073760601. The next prime is 2251073760641. The reversal of 2251073760624 is 4260673701522.

2251073760624 is a `hidden beast` number, since 2 + 2 + 5 + 1 + 0 + 7 + 37 + 606 + 2 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 2251073760624.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 45489207 + ... + 45538665.

It is an arithmetic number, because the mean of its divisors is an integer number (29007592614).

Almost surely, 2^{2251073760624} is an apocalyptic number.

2251073760624 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2251073760624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3480911113680).

2251073760624 is an abundant number, since it is smaller than the sum of its proper divisors (4710748466736).

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

2251073760624 is a wasteful number, since it uses less digits than its factorization.

2251073760624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50120 (or 50111 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The spelling of 2251073760624 in words is "two trillion, two hundred fifty-one billion, seventy-three million, seven hundred sixty thousand, six hundred twenty-four".