2260515600 has 300 divisors, whose sum is σ = 9272712064. Its totient is φ = 516637440.

The previous prime is 2260515599. The next prime is 2260515611. The reversal of 2260515600 is 65150622.

2260515600 is a `hidden beast` number, since 2 + 2 + 6 + 0 + 51 + 5 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (300).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 221817 + ... + 231783.

Almost surely, 2^2260515600 is an apocalyptic number.

2260515600 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 2260515600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4636356032).

2260515600 is an abundant number, since it is smaller than the sum of its proper divisors (7012196464).

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

2260515600 is a wasteful number, since it uses less digits than its factorization.

2260515600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10004 (or 9984 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 2260515600 is about 47544.8798505160. The cubic root of 2260515600 is about 1312.4089079638.

The spelling of 2260515600 in words is "two billion, two hundred sixty million, five hundred fifteen thousand, six hundred".