2591417404944 has 135 divisors (see below), whose sum is σ = 7306012852047. Its totient is φ = 857463236928.

The previous prime is 2591417404931. The next prime is 2591417404951. The reversal of 2591417404944 is 4494047141952.

The square root of 2591417404944 is 1609788.

It is a perfect power (a square), and thus also a powerful number.

2591417404944 is a `hidden beast` number, since 2 + 5 + 9 + 141 + 7 + 4 + 0 + 494 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3148744917 + ... + 3148745739.

Almost surely, 2^{2591417404944} is an apocalyptic number.

2591417404944 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

2591417404944 is the 1609788-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2591417404944

2591417404944 is an abundant number, since it is smaller than the sum of its proper divisors (4714595447103).

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

2591417404944 is an frugal number, since it uses more digits than its factorization.

2591417404944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1986 (or 991 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

It can be divided in two parts, 2591417 and 404944, that added together give a square (2996361 = 1731²).

The spelling of 2591417404944 in words is "two trillion, five hundred ninety-one billion, four hundred seventeen million, four hundred four thousand, nine hundred forty-four".