2230296510960 has 2560 divisors, whose sum is σ = 10031357952000. Its totient is φ = 444206923776.

The previous prime is 2230296510947. The next prime is 2230296510979. The reversal of 2230296510960 is 690156920322.

2230296510960 is a `hidden beast` number, since 2 + 23 + 0 + 29 + 6 + 510 + 96 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 16045298571 + ... + 16045298709.

It is an arithmetic number, because the mean of its divisors is an integer number (3918499200).

Almost surely, 2^{2230296510960} is an apocalyptic number.

2230296510960 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 2230296510960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5015678976000).

2230296510960 is an abundant number, since it is smaller than the sum of its proper divisors (7801061441040).

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

2230296510960 is a wasteful number, since it uses less digits than its factorization.

2230296510960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The spelling of 2230296510960 in words is "two trillion, two hundred thirty billion, two hundred ninety-six million, five hundred ten thousand, nine hundred sixty".