2252365920 has 384 divisors, whose sum is σ = 9077806080. Its totient is φ = 510935040.

The previous prime is 2252365909. The next prime is 2252365931. The reversal of 2252365920 is 295632522.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2252365909) and next prime (2252365931).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6380464 + ... + 6380816.

It is an arithmetic number, because the mean of its divisors is an integer number (23640120).

Almost surely, 2^2252365920 is an apocalyptic number.

2252365920 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 2252365920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4538903040).

2252365920 is an abundant number, since it is smaller than the sum of its proper divisors (6825440160).

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

2252365920 is a wasteful number, since it uses less digits than its factorization.

2252365920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 595 (or 581 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 2252365920 is about 47459.0973365487. The cubic root of 2252365920 is about 1310.8298298781.

The spelling of 2252365920 in words is "two billion, two hundred fifty-two million, three hundred sixty-five thousand, nine hundred twenty".