2522138433120 has 480 divisors, whose sum is σ = 9014465829600. Its totient is φ = 664023343104.

The previous prime is 2522138433109. The next prime is 2522138433127. The reversal of 2522138433120 is 213348312252.

2522138433120 is a `hidden beast` number, since 2 + 5 + 2 + 213 + 8 + 433 + 1 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×2522138433120² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2522138433127) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 1092306526 + ... + 1092308834.

It is an arithmetic number, because the mean of its divisors is an integer number (18780137145).

Almost surely, 2^{2522138433120} is an apocalyptic number.

2522138433120 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 2522138433120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4507232914800).

2522138433120 is an abundant number, since it is smaller than the sum of its proper divisors (6492327396480).

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

2522138433120 is a wasteful number, since it uses less digits than its factorization.

2522138433120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3372 (or 3355 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 2522138433120 in words is "two trillion, five hundred twenty-two billion, one hundred thirty-eight million, four hundred thirty-three thousand, one hundred twenty".