2660757585408 has 240 divisors, whose sum is σ = 8322532073856. Its totient is φ = 813477150720.

The previous prime is 2660757585397. The next prime is 2660757585419. The reversal of 2660757585408 is 8045857570662.

2660757585408 is a `hidden beast` number, since 2 + 6 + 6 + 0 + 7 + 5 + 7 + 585 + 40 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (2660757585397) and next prime (2660757585419).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9263473 + ... + 9546383.

Almost surely, 2^{2660757585408} 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 2660757585408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4161266036928).

2660757585408 is an abundant number, since it is smaller than the sum of its proper divisors (5661774488448).

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

2660757585408 is a wasteful number, since it uses less digits than its factorization.

2660757585408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283105 (or 283086 counting only the distinct ones).

The product of its (nonzero) digits is 112896000, while the sum is 63.

The spelling of 2660757585408 in words is "two trillion, six hundred sixty billion, seven hundred fifty-seven million, five hundred eighty-five thousand, four hundred eight".