2557623276 has 240 divisors, whose sum is σ = 7960607424. Its totient is φ = 708009984.

The previous prime is 2557623241. The next prime is 2557623283. The reversal of 2557623276 is 6723267552.

2557623276 is a `hidden beast` number, since 2 + 5 + 576 + 2 + 3 + 2 + 76 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1646116 + ... + 1647668.

Almost surely, 2^2557623276 is an apocalyptic number.

2557623276 is a gapful number since it is divisible by the number (26) 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 2557623276, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3980303712).

2557623276 is an abundant number, since it is smaller than the sum of its proper divisors (5402984148).

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

2557623276 is a wasteful number, since it uses less digits than its factorization.

2557623276 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1622 (or 1611 counting only the distinct ones).

The product of its digits is 1058400, while the sum is 45.

The square root of 2557623276 is about 50572.9500424881. The cubic root of 2557623276 is about 1367.5572782531.

The spelling of 2557623276 in words is "two billion, five hundred fifty-seven million, six hundred twenty-three thousand, two hundred seventy-six".