2264472760 has 128 divisors (see below), whose sum is σ = 5947784640. Its totient is φ = 766771200.

The previous prime is 2264472757. The next prime is 2264472781. The reversal of 2264472760 is 672744622.

2264472760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

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, 724000 + ... + 727120.

Almost surely, 2^2264472760 is an apocalyptic number.

2264472760 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 2264472760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2973892320).

2264472760 is an abundant number, since it is smaller than the sum of its proper divisors (3683311880).

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

2264472760 is a wasteful number, since it uses less digits than its factorization.

2264472760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3257 (or 3253 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 40.

The square root of 2264472760 is about 47586.4766504098. The cubic root of 2264472760 is about 1313.1742767915.

The spelling of 2264472760 in words is "two billion, two hundred sixty-four million, four hundred seventy-two thousand, seven hundred sixty".