2252380464 has 120 divisors (see below), whose sum is σ = 6404798400. Its totient is φ = 738840960.

The previous prime is 2252380451. The next prime is 2252380489. The reversal of 2252380464 is 4640832522.

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 23 ways as a sum of consecutive naturals, for example, 2621667 + ... + 2622525.

It is an arithmetic number, because the mean of its divisors is an integer number (53373320).

Almost surely, 2^2252380464 is an apocalyptic number.

2252380464 is a gapful number since it is divisible by the number (24) 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 2252380464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3202399200).

2252380464 is an abundant number, since it is smaller than the sum of its proper divisors (4152417936).

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

2252380464 is a wasteful number, since it uses less digits than its factorization.

2252380464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1143 (or 1134 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The square root of 2252380464 is about 47459.2505629830. The cubic root of 2252380464 is about 1310.8326513065.

The spelling of 2252380464 in words is "two billion, two hundred fifty-two million, three hundred eighty thousand, four hundred sixty-four".