2263510656 has 320 divisors, whose sum is σ = 7464441600. Its totient is φ = 675164160.

The previous prime is 2263510621. The next prime is 2263510673. The reversal of 2263510656 is 6560153622.

It is a happy number.

2263510656 is a `hidden beast` number, since 2 + 2 + 635 + 10 + 6 + 5 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 2263510656.

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, 10150161 + ... + 10150383.

It is an arithmetic number, because the mean of its divisors is an integer number (23326380).

Almost surely, 2^2263510656 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 2263510656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3732220800).

2263510656 is an abundant number, since it is smaller than the sum of its proper divisors (5200930944).

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

2263510656 is a wasteful number, since it uses less digits than its factorization.

2263510656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 2263510656 is about 47576.3665699683. The cubic root of 2263510656 is about 1312.9882748198.

The spelling of 2263510656 in words is "two billion, two hundred sixty-three million, five hundred ten thousand, six hundred fifty-six".