2262714624 has 81 divisors (see below), whose sum is σ = 6530553939. Its totient is φ = 753477120.

The previous prime is 2262714611. The next prime is 2262714673. The reversal of 2262714624 is 4264172622.

The square root of 2262714624 is 47568.

It is a perfect power (a square), and thus also a powerful number.

2262714624 is a `hidden beast` number, since 2 + 2 + 6 + 27 + 1 + 4 + 624 = 666.

It is a super-2 number, since 2×2262714624² = 10239754939326922752, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2282769 + ... + 2283759.

Almost surely, 2^2262714624 is an apocalyptic number.

2262714624 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

2262714624 is the 47568-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2262714624

2262714624 is an abundant number, since it is smaller than the sum of its proper divisors (4267839315).

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

2262714624 is an frugal number, since it uses more digits than its factorization.

2262714624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2004 (or 996 counting only the distinct ones).

The product of its digits is 64512, while the sum is 36.

The cubic root of 2262714624 is about 1312.8343394235.

Multiplying 2262714624 by its sum of digits (36), we get a square (81457726464 = 285408²).

2262714624 divided by its sum of digits (36) gives a square (62853184 = 7928²).

The spelling of 2262714624 in words is "two billion, two hundred sixty-two million, seven hundred fourteen thousand, six hundred twenty-four".