2957164204224 has 224 divisors, whose sum is σ = 8212181411520. Its totient is φ = 937853779968.

The previous prime is 2957164204217. The next prime is 2957164204229. The reversal of 2957164204224 is 4224024617592.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (2957164204229) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 582460374 + ... + 582465450.

Almost surely, 2^{2957164204224} is an apocalyptic number.

2957164204224 is a gapful number since it is divisible by the number (24) 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 2957164204224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4106090705760).

2957164204224 is an abundant number, since it is smaller than the sum of its proper divisors (5255017207296).

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

2957164204224 is a wasteful number, since it uses less digits than its factorization.

2957164204224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6627 (or 6617 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 48.

The spelling of 2957164204224 in words is "two trillion, nine hundred fifty-seven billion, one hundred sixty-four million, two hundred four thousand, two hundred twenty-four".