2612268960 has 768 divisors, whose sum is σ = 10973491200. Its totient is φ = 507838464.

The previous prime is 2612268959. The next prime is 2612268983. The reversal of 2612268960 is 698622162.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 31473079 + ... + 31473161.

It is an arithmetic number, because the mean of its divisors is an integer number (14288400).

Almost surely, 2^2612268960 is an apocalyptic number.

2612268960 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 2612268960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5486745600).

2612268960 is an abundant number, since it is smaller than the sum of its proper divisors (8361222240).

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

2612268960 is a wasteful number, since it uses less digits than its factorization.

2612268960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The square root of 2612268960 is about 51110.3605935235. The cubic root of 2612268960 is about 1377.2283795963.

The spelling of 2612268960 in words is "two billion, six hundred twelve million, two hundred sixty-eight thousand, nine hundred sixty".