2264410512 has 160 divisors (see below), whose sum is σ = 7999765760. Its totient is φ = 597196800.

The previous prime is 2264410439. The next prime is 2264410537. The reversal of 2264410512 is 2150144622.

2264410512 is a `hidden beast` number, since 2 + 2 + 644 + 1 + 0 + 5 + 12 = 666.

It is a super-2 number, since 2×2264410512² = 10255109933712204288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 31 ways as a sum of consecutive naturals, for example, 10512 + ... + 68112.

It is an arithmetic number, because the mean of its divisors is an integer number (49998536).

Almost surely, 2^2264410512 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 2264410512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3999882880).

2264410512 is an abundant number, since it is smaller than the sum of its proper divisors (5735355248).

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

2264410512 is a wasteful number, since it uses less digits than its factorization.

2264410512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57638 (or 57626 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 2264410512 is about 47585.8225945502. The cubic root of 2264410512 is about 1313.1622440831.

The spelling of 2264410512 in words is "two billion, two hundred sixty-four million, four hundred ten thousand, five hundred twelve".