2557662261660 has 288 divisors, whose sum is σ = 8496245302272. Its totient is φ = 617647311360.

The previous prime is 2557662261653. The next prime is 2557662261697. The reversal of 2557662261660 is 661622667552.

2557662261660 is a `hidden beast` number, since 2 + 5 + 5 + 7 + 6 + 622 + 6 + 1 + 6 + 6 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2557662261597 and 2557662261606.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 949743274 + ... + 949745966.

It is an arithmetic number, because the mean of its divisors is an integer number (29500851744).

Almost surely, 2^{2557662261660} is an apocalyptic number.

2557662261660 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 2557662261660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4248122651136).

2557662261660 is an abundant number, since it is smaller than the sum of its proper divisors (5938583040612).

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

2557662261660 is a wasteful number, since it uses less digits than its factorization.

2557662261660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4393 (or 4388 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 54.

The spelling of 2557662261660 in words is "two trillion, five hundred fifty-seven billion, six hundred sixty-two million, two hundred sixty-one thousand, six hundred sixty".