2332501920 has 360 divisors, whose sum is σ = 9578360484. Its totient is φ = 532998144.

The previous prime is 2332501909. The next prime is 2332501937. The reversal of 2332501920 is 291052332.

It can be written as a sum of positive squares in 2 ways, for example, as 2080454544 + 252047376 = 45612^2 + 15876^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 633204 + ... + 636876.

Almost surely, 2^2332501920 is an apocalyptic number.

2332501920 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 2332501920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4789180242).

2332501920 is an abundant number, since it is smaller than the sum of its proper divisors (7245858564).

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

2332501920 is a wasteful number, since it uses less digits than its factorization.

2332501920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3714 (or 3690 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 2332501920 is about 48295.9824416069. The cubic root of 2332501920 is about 1326.1948486214.

The spelling of 2332501920 in words is "two billion, three hundred thirty-two million, five hundred one thousand, nine hundred twenty".