2579890936448 has 64 divisors (see below), whose sum is σ = 5916733992000. Its totient is φ = 1097596925952.

The previous prime is 2579890936423. The next prime is 2579890936507. The reversal of 2579890936448 is 8446390989752.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10385798 + ... + 10631301.

It is an arithmetic number, because the mean of its divisors is an integer number (92448968625).

Almost surely, 2^{2579890936448} is an apocalyptic number.

2579890936448 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2579890936448 is an abundant number, since it is smaller than the sum of its proper divisors (3336843055552).

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

2579890936448 is a wasteful number, since it uses less digits than its factorization.

2579890936448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21017257 (or 21017245 counting only the distinct ones).

The product of its (nonzero) digits is 940584960, while the sum is 74.

The spelling of 2579890936448 in words is "two trillion, five hundred seventy-nine billion, eight hundred ninety million, nine hundred thirty-six thousand, four hundred forty-eight".