2957681664000 has 2016 divisors, whose sum is σ = 12962426720256. Its totient is φ = 635417395200.

The previous prime is 2957681663977. The next prime is 2957681664073. The reversal of 2957681664000 is 4661867592.

2957681664000 is a `hidden beast` number, since 2 + 9 + 5 + 76 + 8 + 166 + 400 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 23288831937 + ... + 23288832063.

Almost surely, 2^{2957681664000} is an apocalyptic number.

2957681664000 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 2957681664000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6481213360128).

2957681664000 is an abundant number, since it is smaller than the sum of its proper divisors (10004745056256).

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

2957681664000 is a wasteful number, since it uses less digits than its factorization.

2957681664000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 2957681664000 in words is "two trillion, nine hundred fifty-seven billion, six hundred eighty-one million, six hundred sixty-four thousand".