2975981359680 has 896 divisors, whose sum is σ = 13047712588800. Its totient is φ = 622900150272.

The previous prime is 2975981359667. The next prime is 2975981359699. The reversal of 2975981359680 is 869531895792.

2975981359680 is a `hidden beast` number, since 2 + 97 + 59 + 81 + 359 + 68 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 2975981359599 and 2975981359608.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 38002806 + ... + 38081034.

Almost surely, 2^{2975981359680} is an apocalyptic number.

2975981359680 is a gapful number since it is divisible by the number (20) 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 2975981359680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6523856294400).

2975981359680 is an abundant number, since it is smaller than the sum of its proper divisors (10071731229120).

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

2975981359680 is a wasteful number, since it uses less digits than its factorization.

2975981359680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78316 (or 78300 counting only the distinct ones).

The product of its (nonzero) digits is 293932800, while the sum is 72.

The spelling of 2975981359680 in words is "two trillion, nine hundred seventy-five billion, nine hundred eighty-one million, three hundred fifty-nine thousand, six hundred eighty".