2264362672 has 160 divisors (see below), whose sum is σ = 5345657856. Its totient is φ = 915532800.

The previous prime is 2264362669. The next prime is 2264362697. The reversal of 2264362672 is 2762634622.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8609613 + ... + 8609875.

Almost surely, 2^2264362672 is an apocalyptic number.

2264362672 is a gapful number since it is divisible by the number (22) 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 2264362672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2672828928).

2264362672 is an abundant number, since it is smaller than the sum of its proper divisors (3081295184).

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

2264362672 is a wasteful number, since it uses less digits than its factorization.

2264362672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 419 (or 413 counting only the distinct ones).

The product of its digits is 290304, while the sum is 40.

The square root of 2264362672 is about 47585.3199211690. The cubic root of 2264362672 is about 1313.1529963305.

The spelling of 2264362672 in words is "two billion, two hundred sixty-four million, three hundred sixty-two thousand, six hundred seventy-two".