2557677060 has 72 divisors (see below), whose sum is σ = 8045646336. Its totient is φ = 682045920.

The previous prime is 2557677053. The next prime is 2557677071. The reversal of 2557677060 is 607767552.

2557677060 is a `hidden beast` number, since 2 + 5 + 576 + 7 + 70 + 6 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 2557676997 and 2557677015.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 258276 + ... + 267995.

It is an arithmetic number, because the mean of its divisors is an integer number (111745088).

Almost surely, 2^2557677060 is an apocalyptic number.

2557677060 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2557677060 is an abundant number, since it is smaller than the sum of its proper divisors (5487969276).

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

2557677060 is a wasteful number, since it uses less digits than its factorization.

2557677060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 526295 (or 526281 counting only the distinct ones).

The product of its (nonzero) digits is 617400, while the sum is 45.

The square root of 2557677060 is about 50573.4817864066. The cubic root of 2557677060 is about 1367.5668642602.

The spelling of 2557677060 in words is "two billion, five hundred fifty-seven million, six hundred seventy-seven thousand, sixty".