2260008960 has 408 divisors, whose sum is σ = 8367572640. Its totient is φ = 519045120.

The previous prime is 2260008937. The next prime is 2260008967. The reversal of 2260008960 is 698000622.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2260008967) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 118947831 + ... + 118947849.

Almost surely, 2^2260008960 is an apocalyptic number.

2260008960 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 2260008960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4183786320).

2260008960 is an abundant number, since it is smaller than the sum of its proper divisors (6107563680).

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

2260008960 is an equidigital number, since it uses as much as digits as its factorization.

2260008960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 2260008960 is about 47539.5515334337. The cubic root of 2260008960 is about 1312.3108523800.

The spelling of 2260008960 in words is "two billion, two hundred sixty million, eight thousand, nine hundred sixty".