2875982760 has 384 divisors, whose sum is σ = 11347015680. Its totient is φ = 641426688.

The previous prime is 2875982749. The next prime is 2875982771. The reversal of 2875982760 is 672895782.

It is a happy number.

2875982760 is a `hidden beast` number, since 28 + 7 + 598 + 27 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2875982749) and next prime (2875982771).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 2875982697 and 2875982706.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2925229 + ... + 2926211.

It is an arithmetic number, because the mean of its divisors is an integer number (29549520).

Almost surely, 2^2875982760 is an apocalyptic number.

2875982760 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 2875982760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5673507840).

2875982760 is an abundant number, since it is smaller than the sum of its proper divisors (8471032920).

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

2875982760 is a wasteful number, since it uses less digits than its factorization.

2875982760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1059 (or 1043 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The square root of 2875982760 is about 53628.1899750495. The cubic root of 2875982760 is about 1422.0954911038.

The spelling of 2875982760 in words is "two billion, eight hundred seventy-five million, nine hundred eighty-two thousand, seven hundred sixty".