2292007125384 has 256 divisors, whose sum is σ = 6983168544000. Its totient is φ = 702334789632.

The previous prime is 2292007125383. The next prime is 2292007125481. The reversal of 2292007125384 is 4835217002922.

2292007125384 is a `hidden beast` number, since 2 + 29 + 20 + 0 + 71 + 2 + 538 + 4 = 666.

It is a super-2 number, since 2×2292007125384² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2292007125383) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12699972 + ... + 12879180.

It is an arithmetic number, because the mean of its divisors is an integer number (27278002125).

Almost surely, 2^{2292007125384} is an apocalyptic number.

2292007125384 is a gapful number since it is divisible by the number (24) 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 2292007125384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3491584272000).

2292007125384 is an abundant number, since it is smaller than the sum of its proper divisors (4691161418616).

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

2292007125384 is a wasteful number, since it uses less digits than its factorization.

2292007125384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179296 (or 179274 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 2292007125384 in words is "two trillion, two hundred ninety-two billion, seven million, one hundred twenty-five thousand, three hundred eighty-four".