2292311468160 has 384 divisors, whose sum is σ = 9358394572800. Its totient is φ = 505889169408.

The previous prime is 2292311468143. The next prime is 2292311468179. The reversal of 2292311468160 is 618641132922.

2292311468160 is a `hidden beast` number, since 2 + 2 + 9 + 23 + 1 + 1 + 468 + 160 = 666.

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 (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 189057 + ... + 2149503.

It is an arithmetic number, because the mean of its divisors is an integer number (24370819200).

Almost surely, 2^{2292311468160} is an apocalyptic number.

2292311468160 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 2292311468160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4679197286400).

2292311468160 is an abundant number, since it is smaller than the sum of its proper divisors (7066083104640).

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

2292311468160 is a wasteful number, since it uses less digits than its factorization.

2292311468160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1960508 (or 1960493 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 2292311468160 in words is "two trillion, two hundred ninety-two billion, three hundred eleven million, four hundred sixty-eight thousand, one hundred sixty".