2957629633616 has 160 divisors (see below), whose sum is σ = 6920478965760. Its totient is φ = 1197877248000.

The previous prime is 2957629633601. The next prime is 2957629633711. The reversal of 2957629633616 is 6163369267592.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30884240 + ... + 30979856.

It is an arithmetic number, because the mean of its divisors is an integer number (43252993536).

Almost surely, 2^{2957629633616} 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 2957629633616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3460239482880).

2957629633616 is an abundant number, since it is smaller than the sum of its proper divisors (3962849332144).

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

2957629633616 is a wasteful number, since it uses less digits than its factorization.

2957629633616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95873 (or 95867 counting only the distinct ones).

The product of its digits is 132269760, while the sum is 65.

The spelling of 2957629633616 in words is "two trillion, nine hundred fifty-seven billion, six hundred twenty-nine million, six hundred thirty-three thousand, six hundred sixteen".