2894795160 has 256 divisors, whose sum is σ = 9471168000. Its totient is φ = 705392640.

The previous prime is 2894795149. The next prime is 2894795177. The reversal of 2894795160 is 615974982.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16171951 + ... + 16172129.

It is an arithmetic number, because the mean of its divisors is an integer number (36996750).

Almost surely, 2^2894795160 is an apocalyptic number.

2894795160 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 2894795160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4735584000).

2894795160 is an abundant number, since it is smaller than the sum of its proper divisors (6576372840).

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

2894795160 is a wasteful number, since it uses less digits than its factorization.

2894795160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426 (or 422 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 51.

The square root of 2894795160 is about 53803.3006422468. The cubic root of 2894795160 is about 1425.1894952678.

The spelling of 2894795160 in words is "two billion, eight hundred ninety-four million, seven hundred ninety-five thousand, one hundred sixty".