2256213264 has 40 divisors (see below), whose sum is σ = 5846976960. Its totient is φ = 749693568.

The previous prime is 2256213247. The next prime is 2256213287. The reversal of 2256213264 is 4623126522.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 58924 + ... + 89355.

It is an arithmetic number, because the mean of its divisors is an integer number (146174424).

Almost surely, 2^2256213264 is an apocalyptic number.

2256213264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2256213264 is an abundant number, since it is smaller than the sum of its proper divisors (3590763696).

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

2256213264 is a wasteful number, since it uses less digits than its factorization.

2256213264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148607 (or 148601 counting only the distinct ones).

The product of its digits is 34560, while the sum is 33.

The square root of 2256213264 is about 47499.6133036891. The cubic root of 2256213264 is about 1311.5757632190.

Adding to 2256213264 its reverse (4623126522), we get a palindrome (6879339786).

The spelling of 2256213264 in words is "two billion, two hundred fifty-six million, two hundred thirteen thousand, two hundred sixty-four".