2264854720 has 112 divisors (see below), whose sum is σ = 5809731840. Its totient is φ = 838204416.

The previous prime is 2264854717. The next prime is 2264854723. The reversal of 2264854720 is 274584622.

2264854720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2264854717) and next prime (2264854723).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (2264854723) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 257109 + ... + 265771.

Almost surely, 2^2264854720 is an apocalyptic number.

2264854720 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 2264854720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2904865920).

2264854720 is an abundant number, since it is smaller than the sum of its proper divisors (3544877120).

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

2264854720 is a wasteful number, since it uses less digits than its factorization.

2264854720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8742 (or 8732 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 40.

The square root of 2264854720 is about 47590.4898062628. The cubic root of 2264854720 is about 1313.2481058754.

The spelling of 2264854720 in words is "two billion, two hundred sixty-four million, eight hundred fifty-four thousand, seven hundred twenty".