2860738560 has 240 divisors, whose sum is σ = 10256746500. Its totient is φ = 762642432.

The previous prime is 2860738549. The next prime is 2860738561. The reversal of 2860738560 is 658370682.

2860738560 is a `hidden beast` number, since 2 + 8 + 607 + 38 + 5 + 6 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2368963584 + 491774976 = 48672^2 + 22176^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (2860738561) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 827716 + ... + 831164.

Almost surely, 2^2860738560 is an apocalyptic number.

2860738560 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 2860738560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5128373250).

2860738560 is an abundant number, since it is smaller than the sum of its proper divisors (7396007940).

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

2860738560 is an equidigital number, since it uses as much as digits as its factorization.

2860738560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3488 (or 3459 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 2860738560 is about 53485.8725272384. The cubic root of 2860738560 is about 1419.5784240827.

The spelling of 2860738560 in words is "two billion, eight hundred sixty million, seven hundred thirty-eight thousand, five hundred sixty".