2542626353664 has 320 divisors, whose sum is σ = 7895628576000. Its totient is φ = 806781911040.

The previous prime is 2542626353633. The next prime is 2542626353713. The reversal of 2542626353664 is 4663536262452.

2542626353664 is a `hidden beast` number, since 2 + 5 + 4 + 2 + 626 + 3 + 5 + 3 + 6 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 2542626353664.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28418952 + ... + 28508280.

It is an arithmetic number, because the mean of its divisors is an integer number (24673839300).

Almost surely, 2^{2542626353664} is an apocalyptic number.

2542626353664 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 2542626353664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3947814288000).

2542626353664 is an abundant number, since it is smaller than the sum of its proper divisors (5353002222336).

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

2542626353664 is an equidigital number, since it uses as much as digits as its factorization.

2542626353664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89456 (or 89434 counting only the distinct ones).

The product of its digits is 37324800, while the sum is 54.

The spelling of 2542626353664 in words is "two trillion, five hundred forty-two billion, six hundred twenty-six million, three hundred fifty-three thousand, six hundred sixty-four".