2292600960 has 384 divisors, whose sum is σ = 9032128560. Its totient is φ = 530841600.

The previous prime is 2292600953. The next prime is 2292600967. The reversal of 2292600960 is 690062922.

It is an interprime number because it is at equal distance from previous prime (2292600953) and next prime (2292600967).

It can be written as a sum of positive squares in 8 ways, for example, as 449100864 + 1843500096 = 21192^2 + 42936^2 .

It is a tau number, because it is divible by the number of its divisors (384).

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 (2292600967) 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, 1272060 + ... + 1273860.

Almost surely, 2^2292600960 is an apocalyptic number.

2292600960 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 2292600960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4516064280).

2292600960 is an abundant number, since it is smaller than the sum of its proper divisors (6739527600).

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

2292600960 is a wasteful number, since it uses less digits than its factorization.

2292600960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1856 (or 1841 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 2292600960 is about 47881.1127690241. The cubic root of 2292600960 is about 1318.5891261423.

The spelling of 2292600960 in words is "two billion, two hundred ninety-two million, six hundred thousand, nine hundred sixty".