2557266304050 has 144 divisors (see below), whose sum is σ = 7331954153472. Its totient is φ = 636769728000.

The previous prime is 2557266303983. The next prime is 2557266304069. The reversal of 2557266304050 is 504036627552.

2557266304050 is a `hidden beast` number, since 2 + 5 + 5 + 7 + 2 + 6 + 630 + 4 + 0 + 5 + 0 = 666.

It is a super-2 number, since 2×2557266304050² (a number of 26 digits) contains 22 as substring.

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 = 2557266303987 and 2557266304005.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 344526 + ... + 2287625.

It is an arithmetic number, because the mean of its divisors is an integer number (50916348288).

Almost surely, 2^{2557266304050} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2557266304050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3665977076736).

2557266304050 is an abundant number, since it is smaller than the sum of its proper divisors (4774687849422).

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

2557266304050 is a wasteful number, since it uses less digits than its factorization.

2557266304050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2632313 (or 2632305 counting only the distinct ones).

The product of its (nonzero) digits is 1512000, while the sum is 45.

The spelling of 2557266304050 in words is "two trillion, five hundred fifty-seven billion, two hundred sixty-six million, three hundred four thousand, fifty".