2549516256 has 240 divisors, whose sum is σ = 8681979600. Its totient is φ = 727840512.

The previous prime is 2549516183. The next prime is 2549516261. The reversal of 2549516256 is 6526159452.

2549516256 is a `hidden beast` number, since 2 + 549 + 51 + 6 + 2 + 56 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2073850 + ... + 2075078.

It is an arithmetic number, because the mean of its divisors is an integer number (36174915).

Almost surely, 2^2549516256 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2549516256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4340989800).

2549516256 is an abundant number, since it is smaller than the sum of its proper divisors (6132463344).

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

2549516256 is an equidigital number, since it uses as much as digits as its factorization.

2549516256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1276 (or 1241 counting only the distinct ones).

The product of its digits is 648000, while the sum is 45.

The square root of 2549516256 is about 50492.7346852990. The cubic root of 2549516256 is about 1366.1108117730.

The spelling of 2549516256 in words is "two billion, five hundred forty-nine million, five hundred sixteen thousand, two hundred fifty-six".