2957983985880 has 768 divisors, whose sum is σ = 12688845696000. Its totient is φ = 605980569600.

The previous prime is 2957983985867. The next prime is 2957983985909. The reversal of 2957983985880 is 885893897592.

2957983985880 is a `hidden beast` number, since 2 + 9 + 579 + 8 + 39 + 8 + 5 + 8 + 8 + 0 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 2957983985880.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 41294736 + ... + 41366304.

It is an arithmetic number, because the mean of its divisors is an integer number (16521934500).

Almost surely, 2^{2957983985880} is an apocalyptic number.

2957983985880 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 2957983985880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6344422848000).

2957983985880 is an abundant number, since it is smaller than the sum of its proper divisors (9730861710120).

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

2957983985880 is a wasteful number, since it uses less digits than its factorization.

2957983985880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71685 (or 71668 counting only the distinct ones).

The product of its (nonzero) digits is 3135283200, while the sum is 81.

The spelling of 2957983985880 in words is "two trillion, nine hundred fifty-seven billion, nine hundred eighty-three million, nine hundred eighty-five thousand, eight hundred eighty".