2292764315520 has 768 divisors, whose sum is σ = 8984667225600. Its totient is φ = 494489124864.

The previous prime is 2292764315519. The next prime is 2292764315587. The reversal of 2292764315520 is 255134672922.

It is a super-2 number, since 2×2292764315520² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 2292764315520.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 470115322 + ... + 470120198.

It is an arithmetic number, because the mean of its divisors is an integer number (11698785450).

Almost surely, 2^{2292764315520} is an apocalyptic number.

2292764315520 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 2292764315520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4492333612800).

2292764315520 is an abundant number, since it is smaller than the sum of its proper divisors (6691902910080).

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

2292764315520 is a wasteful number, since it uses less digits than its factorization.

2292764315520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5195 (or 5176 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 48.

The spelling of 2292764315520 in words is "two trillion, two hundred ninety-two billion, seven hundred sixty-four million, three hundred fifteen thousand, five hundred twenty".