2870800560 has 120 divisors (see below), whose sum is σ = 9677338944. Its totient is φ = 762670080.

The previous prime is 2870800547. The next prime is 2870800589. The reversal of 2870800560 is 650080782.

2870800560 is a `hidden beast` number, since 28 + 70 + 8 + 0 + 0 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a hoax number, since the sum of its digits (36) 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 (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 187764 + ... + 202476.

Almost surely, 2^2870800560 is an apocalyptic number.

2870800560 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 2870800560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4838669472).

2870800560 is an abundant number, since it is smaller than the sum of its proper divisors (6806538384).

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

2870800560 is a wasteful number, since it uses less digits than its factorization.

2870800560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15003 (or 14994 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 2870800560 is about 53579.8521834467. The cubic root of 2870800560 is about 1421.2408250998.

The spelling of 2870800560 in words is "two billion, eight hundred seventy million, eight hundred thousand, five hundred sixty".