2554616610 has 256 divisors, whose sum is σ = 8446878720. Its totient is φ = 534988800.

The previous prime is 2554616593. The next prime is 2554616653. The reversal of 2554616610 is 166164552.

2554616610 is a `hidden beast` number, since 25 + 5 + 4 + 6 + 16 + 610 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4250310 + ... + 4250910.

It is an arithmetic number, because the mean of its divisors is an integer number (32995620).

Almost surely, 2^2554616610 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2554616610, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4223439360).

2554616610 is an abundant number, since it is smaller than the sum of its proper divisors (5892262110).

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

2554616610 is a wasteful number, since it uses less digits than its factorization.

2554616610 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 810 (or 804 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 2554616610 is about 50543.2152716861. The cubic root of 2554616610 is about 1367.0211815449.

The spelling of 2554616610 in words is "two billion, five hundred fifty-four million, six hundred sixteen thousand, six hundred ten".