2875764100 has 144 divisors (see below), whose sum is σ = 7016175936. Its totient is φ = 1014208000.

The previous prime is 2875764077. The next prime is 2875764119. The reversal of 2875764100 is 14675782.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6237870 + ... + 6238330.

It is an arithmetic number, because the mean of its divisors is an integer number (48723444).

Almost surely, 2^2875764100 is an apocalyptic number.

2875764100 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 2875764100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3508087968).

2875764100 is an abundant number, since it is smaller than the sum of its proper divisors (4140411836).

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

2875764100 is a wasteful number, since it uses less digits than its factorization.

2875764100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 646 (or 639 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 40.

The square root of 2875764100 is about 53626.1512696930. The cubic root of 2875764100 is about 1422.0594497101.

The spelling of 2875764100 in words is "two billion, eight hundred seventy-five million, seven hundred sixty-four thousand, one hundred".