2957852160 has 160 divisors (see below), whose sum is σ = 10506782880. Its totient is φ = 788742144.

The previous prime is 2957852123. The next prime is 2957852171. The reversal of 2957852160 is 612587592.

2957852160 is a `hidden beast` number, since 29 + 578 + 52 + 1 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47724 + ... + 90516.

It is an arithmetic number, because the mean of its divisors is an integer number (65667393).

Almost surely, 2^2957852160 is an apocalyptic number.

2957852160 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 2957852160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5253391440).

2957852160 is an abundant number, since it is smaller than the sum of its proper divisors (7548930720).

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

2957852160 is an equidigital number, since it uses as much as digits as its factorization.

2957852160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42825 (or 42803 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The square root of 2957852160 is about 54386.1394106991. The cubic root of 2957852160 is about 1435.4635012432.

The spelling of 2957852160 in words is "two billion, nine hundred fifty-seven million, eight hundred fifty-two thousand, one hundred sixty".