2557667193664 has 224 divisors, whose sum is σ = 6057185743872. Its totient is φ = 1057910784000.

The previous prime is 2557667193623. The next prime is 2557667193667. The reversal of 2557667193664 is 4663917667552.

It is a super-2 number, since 2×2557667193664² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2557667193664.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2557667193667) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 509391474 + ... + 509396494.

Almost surely, 2^{2557667193664} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2557667193664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3028592871936).

2557667193664 is an abundant number, since it is smaller than the sum of its proper divisors (3499518550208).

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

2557667193664 is a wasteful number, since it uses less digits than its factorization.

2557667193664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6465 (or 6455 counting only the distinct ones).

The product of its digits is 342921600, while the sum is 67.

The spelling of 2557667193664 in words is "two trillion, five hundred fifty-seven billion, six hundred sixty-seven million, one hundred ninety-three thousand, six hundred sixty-four".