2256089976 has 256 divisors, whose sum is σ = 7471104000. Its totient is φ = 617258880.

The previous prime is 2256089959. The next prime is 2256089993. The reversal of 2256089976 is 6799806522.

2256089976 is a `hidden beast` number, since 2 + 2 + 560 + 8 + 9 + 9 + 76 = 666.

2256089976 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2256089959) and next prime (2256089993).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5952555 + ... + 5952933.

It is an arithmetic number, because the mean of its divisors is an integer number (29184000).

Almost surely, 2^2256089976 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 2256089976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3735552000).

2256089976 is an abundant number, since it is smaller than the sum of its proper divisors (5215014024).

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

2256089976 is a wasteful number, since it uses less digits than its factorization.

2256089976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 559 (or 549 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The square root of 2256089976 is about 47498.3155069735. The cubic root of 2256089976 is about 1311.5518729688.

The spelling of 2256089976 in words is "two billion, two hundred fifty-six million, eighty-nine thousand, nine hundred seventy-six".