2277608256 has 336 divisors, whose sum is σ = 8244961920. Its totient is φ = 583925760.

The previous prime is 2277608227. The next prime is 2277608257. The reversal of 2277608256 is 6528067722.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2277608257) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3947040 + ... + 3947616.

Almost surely, 2^2277608256 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 2277608256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4122480960).

2277608256 is an abundant number, since it is smaller than the sum of its proper divisors (5967353664).

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

2277608256 is a wasteful number, since it uses less digits than its factorization.

2277608256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 702 (or 689 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The square root of 2277608256 is about 47724.2941906950. The cubic root of 2277608256 is about 1315.7084870267.

The spelling of 2277608256 in words is "two billion, two hundred seventy-seven million, six hundred eight thousand, two hundred fifty-six".