2261530656 has 432 divisors, whose sum is σ = 8254052352. Its totient is φ = 574801920.

The previous prime is 2261530643. The next prime is 2261530657. The reversal of 2261530656 is 6560351622.

It is a happy number.

2261530656 is a `hidden beast` number, since 2 + 2 + 61 + 530 + 65 + 6 = 666.

It is a super-2 number, since 2×2261530656² = 10229041816055580672, which contains 22 as substring.

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 2261530656.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2261530657) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 17807265 + ... + 17807391.

Almost surely, 2^2261530656 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 2261530656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4127026176).

2261530656 is an abundant number, since it is smaller than the sum of its proper divisors (5992521696).

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

2261530656 is a wasteful number, since it uses less digits than its factorization.

2261530656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 223 counting only the distinct ones).

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

The square root of 2261530656 is about 47555.5533665628. The cubic root of 2261530656 is about 1312.6053187868.

The spelling of 2261530656 in words is "two billion, two hundred sixty-one million, five hundred thirty thousand, six hundred fifty-six".