2295610560 has 336 divisors, whose sum is σ = 8180771040. Its totient is φ = 590561280.

The previous prime is 2295610549. The next prime is 2295610561. The reversal of 2295610560 is 650165922.

2295610560 is a `hidden beast` number, since 2 + 2 + 95 + 6 + 1 + 0 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2295610561) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12824551 + ... + 12824729.

Almost surely, 2^2295610560 is an apocalyptic number.

2295610560 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 2295610560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4090385520).

2295610560 is an abundant number, since it is smaller than the sum of its proper divisors (5885160480).

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

2295610560 is a wasteful number, since it uses less digits than its factorization.

2295610560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 2295610560 is about 47912.5303026254. The cubic root of 2295610560 is about 1319.1658641876.

The spelling of 2295610560 in words is "two billion, two hundred ninety-five million, six hundred ten thousand, five hundred sixty".