2523661344 has 72 divisors (see below), whose sum is σ = 7184808540. Its totient is φ = 840265728.

The previous prime is 2523661337. The next prime is 2523661351. The reversal of 2523661344 is 4431663252.

2523661344 is a `hidden beast` number, since 2 + 5 + 2 + 36 + 613 + 4 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (2523661337) and next prime (2523661351).

It can be written as a sum of positive squares in 2 ways, for example, as 2332890000 + 190771344 = 48300^2 + 13812^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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 = 2523661299 and 2523661308.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 276892 + ... + 285860.

Almost surely, 2^2523661344 is an apocalyptic number.

2523661344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2523661344 is an abundant number, since it is smaller than the sum of its proper divisors (4661147196).

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

2523661344 is a wasteful number, since it uses less digits than its factorization.

2523661344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9962 (or 9951 counting only the distinct ones).

The product of its digits is 103680, while the sum is 36.

The square root of 2523661344 is about 50236.0562146353. The cubic root of 2523661344 is about 1361.4771551090.

The spelling of 2523661344 in words is "two billion, five hundred twenty-three million, six hundred sixty-one thousand, three hundred forty-four".