2264709120 has 96 divisors (see below), whose sum is σ = 7245398160. Its totient is φ = 603914240.

The previous prime is 2264709113. The next prime is 2264709127. The reversal of 2264709120 is 219074622.

It is an interprime number because it is at equal distance from previous prime (2264709113) and next prime (2264709127).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×2264709120² = 10257814796422348800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2264709127) by changing a digit.

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, 6141 + ... + 67580.

Almost surely, 2^2264709120 is an apocalyptic number.

2264709120 is a gapful number since it is divisible by the number (20) 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 2264709120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3622699080).

2264709120 is an abundant number, since it is smaller than the sum of its proper divisors (4980689040).

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

2264709120 is an equidigital number, since it uses as much as digits as its factorization.

2264709120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73751 (or 73731 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 2264709120 is about 47588.9600642838. The cubic root of 2264709120 is about 1313.2199638169.

The spelling of 2264709120 in words is "two billion, two hundred sixty-four million, seven hundred nine thousand, one hundred twenty".