2258064216672 has 192 divisors, whose sum is σ = 6972622352640. Its totient is φ = 632436940800.

The previous prime is 2258064216619. The next prime is 2258064216701. The reversal of 2258064216672 is 2766124608522.

It is a super-2 number, since 2×2258064216672² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 549853 + ... + 2195100.

It is an arithmetic number, because the mean of its divisors is an integer number (36315741420).

Almost surely, 2^{2258064216672} is an apocalyptic number.

2258064216672 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2258064216672 is an abundant number, since it is smaller than the sum of its proper divisors (4714558135968).

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

2258064216672 is a wasteful number, since it uses less digits than its factorization.

2258064216672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2745037 (or 2745029 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 51.

The spelling of 2258064216672 in words is "two trillion, two hundred fifty-eight billion, sixty-four million, two hundred sixteen thousand, six hundred seventy-two".