2567272420944 has 240 divisors, whose sum is σ = 9028206919680. Its totient is φ = 661573059840.

The previous prime is 2567272420913. The next prime is 2567272420967. The reversal of 2567272420944 is 4490242727652.

2567272420944 is a `hidden beast` number, since 2 + 5 + 67 + 2 + 72 + 420 + 94 + 4 = 666.

2567272420944 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2567272420944² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 496617 + ... + 2319735.

It is an arithmetic number, because the mean of its divisors is an integer number (37617528832).

Almost surely, 2^{2567272420944} is an apocalyptic number.

2567272420944 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 2567272420944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4514103459840).

2567272420944 is an abundant number, since it is smaller than the sum of its proper divisors (6460934498736).

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

2567272420944 is a wasteful number, since it uses less digits than its factorization.

2567272420944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1823278 (or 1823269 counting only the distinct ones).

The product of its (nonzero) digits is 13547520, while the sum is 54.

The spelling of 2567272420944 in words is "two trillion, five hundred sixty-seven billion, two hundred seventy-two million, four hundred twenty thousand, nine hundred forty-four".