2333009952 has 504 divisors, whose sum is σ = 8682018156. Its totient is φ = 611380224.

The previous prime is 2333009941. The next prime is 2333009971. The reversal of 2333009952 is 2599003332.

It can be written as a sum of positive squares in 2 ways, for example, as 2126685456 + 206324496 = 46116^2 + 14364^2 .

It is a tau number, because it is divible by the number of its divisors (504).

It is a super-2 number, since 2×2333009952² = 10885870872262084608, which contains 22 as substring.

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 83 ways as a sum of consecutive naturals, for example, 14859858 + ... + 14860014.

Almost surely, 2^2333009952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2333009952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4341009078).

2333009952 is an abundant number, since it is smaller than the sum of its proper divisors (6349008204).

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

2333009952 is a wasteful number, since it uses less digits than its factorization.

2333009952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 43740, while the sum is 36.

The square root of 2333009952 is about 48301.2417231690. The cubic root of 2333009952 is about 1326.2911258572.

The spelling of 2333009952 in words is "two billion, three hundred thirty-three million, nine thousand, nine hundred fifty-two".