2264554656 has 288 divisors, whose sum is σ = 8044178688. Its totient is φ = 588349440.

The previous prime is 2264554651. The next prime is 2264554661. The reversal of 2264554656 is 6564554622.

It is an interprime number because it is at equal distance from previous prime (2264554651) and next prime (2264554661).

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×2264554656² = 10256415580022556672, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2264554651) 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, 1860160 + ... + 1861376.

It is an arithmetic number, because the mean of its divisors is an integer number (27931176).

Almost surely, 2^2264554656 is an apocalyptic number.

2264554656 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2264554656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4022089344).

2264554656 is an abundant number, since it is smaller than the sum of its proper divisors (5779624032).

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

2264554656 is a wasteful number, since it uses less digits than its factorization.

2264554656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1324 (or 1313 counting only the distinct ones).

The product of its digits is 1728000, while the sum is 45.

The square root of 2264554656 is about 47587.3371392012. The cubic root of 2264554656 is about 1313.1901071761.

The spelling of 2264554656 in words is "two billion, two hundred sixty-four million, five hundred fifty-four thousand, six hundred fifty-six".