2875676160 has 320 divisors, whose sum is σ = 10606464000. Its totient is φ = 651067392.

The previous prime is 2875676147. The next prime is 2875676161. The reversal of 2875676160 is 616765782.

It is a tau number, because it is divible by the number of its divisors (320).

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2875676161) 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, 8010061 + ... + 8010419.

It is an arithmetic number, because the mean of its divisors is an integer number (33145200).

Almost surely, 2^2875676160 is an apocalyptic number.

2875676160 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 2875676160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5303232000).

2875676160 is an abundant number, since it is smaller than the sum of its proper divisors (7730787840).

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

2875676160 is a wasteful number, since it uses less digits than its factorization.

2875676160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 541 (or 525 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 48.

The square root of 2875676160 is about 53625.3313276478. The cubic root of 2875676160 is about 1422.0449541791.

The spelling of 2875676160 in words is "two billion, eight hundred seventy-five million, six hundred seventy-six thousand, one hundred sixty".