2522664144 has 720 divisors, whose sum is σ = 10037163136. Its totient is φ = 574801920.

The previous prime is 2522664077. The next prime is 2522664163. The reversal of 2522664144 is 4414662252.

2522664144 is a `hidden beast` number, since 2 + 5 + 2 + 2 + 6 + 641 + 4 + 4 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 2522664099 and 2522664108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 58666587 + ... + 58666629.

Almost surely, 2^2522664144 is an apocalyptic number.

2522664144 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 2522664144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5018581568).

2522664144 is an abundant number, since it is smaller than the sum of its proper divisors (7514498992).

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

2522664144 is a wasteful number, since it uses less digits than its factorization.

2522664144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 116 counting only the distinct ones).

The product of its digits is 92160, while the sum is 36.

The square root of 2522664144 is about 50226.1300918158. The cubic root of 2522664144 is about 1361.2978067079.

It can be divided in two parts, 2522 and 664144, that added together give a palindrome (666666).

The spelling of 2522664144 in words is "two billion, five hundred twenty-two million, six hundred sixty-four thousand, one hundred forty-four".