2957416128 has 84 divisors (see below), whose sum is σ = 8508857760. Its totient is φ = 982089216.

The previous prime is 2957416127. The next prime is 2957416157. The reversal of 2957416128 is 8216147592.

2957416128 is a `hidden beast` number, since 29 + 5 + 7 + 4 + 1 + 612 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (2957416127) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 145401 + ... + 164487.

Almost surely, 2^2957416128 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 2957416128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4254428880).

2957416128 is an abundant number, since it is smaller than the sum of its proper divisors (5551441632).

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

2957416128 is a wasteful number, since it uses less digits than its factorization.

2957416128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19374 (or 19361 counting only the distinct ones).

The product of its digits is 241920, while the sum is 45.

The square root of 2957416128 is about 54382.1305945253. The cubic root of 2957416128 is about 1435.3929614567.

The spelling of 2957416128 in words is "two billion, nine hundred fifty-seven million, four hundred sixteen thousand, one hundred twenty-eight".