2623937299488 has 90 divisors (see below), whose sum is σ = 7717169259261. Its totient is φ = 874618276608.

The previous prime is 2623937299447. The next prime is 2623937299493. The reversal of 2623937299488 is 8849927393262.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

2623937299488 is a `hidden beast` number, since 2 + 6 + 2 + 393 + 72 + 9 + 94 + 88 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2109314713104 + 514622586384 = 1452348^2 + 717372^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=1145412.

It is a Harshad number since it is a multiple of its sum of digits (72).

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 14 ways as a sum of consecutive naturals, for example, 82453756 + ... + 82485572.

Almost surely, 2^{2623937299488} is an apocalyptic number.

It is an amenable number.

2623937299488 is an abundant number, since it is smaller than the sum of its proper divisors (5093231959773).

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

2623937299488 is an frugal number, since it uses more digits than its factorization.

2623937299488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63656 (or 31822 counting only the distinct ones).

The product of its digits is 564350976, while the sum is 72.

Multiplying 2623937299488 by its sum of digits (72), we get a square (188923485563136 = 13744944²).

2623937299488 divided by its sum of digits (72) gives a square (36443573604 = 190902²).

The spelling of 2623937299488 in words is "two trillion, six hundred twenty-three billion, nine hundred thirty-seven million, two hundred ninety-nine thousand, four hundred eighty-eight".