2557376640 has 1152 divisors, whose sum is σ = 11999398320. Its totient is φ = 495452160.

The previous prime is 2557376581. The next prime is 2557376659. The reversal of 2557376640 is 466737552.

2557376640 is a `hidden beast` number, since 2 + 5 + 573 + 76 + 6 + 4 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 360392256 + 2196984384 = 18984^2 + 46872^2 .

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 62375020 + ... + 62375060.

Almost surely, 2^2557376640 is an apocalyptic number.

2557376640 is a gapful number since it is divisible by the number (20) 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 2557376640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5999699160).

2557376640 is an abundant number, since it is smaller than the sum of its proper divisors (9442021680).

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

2557376640 is a wasteful number, since it uses less digits than its factorization.

2557376640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 88 counting only the distinct ones).

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

The square root of 2557376640 is about 50570.5115655359. The cubic root of 2557376640 is about 1367.5133182085.

The spelling of 2557376640 in words is "two billion, five hundred fifty-seven million, three hundred seventy-six thousand, six hundred forty".