2338902720 has 672 divisors, whose sum is σ = 10270540800. Its totient is φ = 474439680.

The previous prime is 2338902701. The next prime is 2338902743. The reversal of 2338902720 is 272098332.

2338902720 is a `hidden beast` number, since 2 + 3 + 389 + 0 + 272 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

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 95 ways as a sum of consecutive naturals, for example, 11753181 + ... + 11753379.

Almost surely, 2^2338902720 is an apocalyptic number.

2338902720 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 2338902720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5135270400).

2338902720 is an abundant number, since it is smaller than the sum of its proper divisors (7931638080).

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

2338902720 is a wasteful number, since it uses less digits than its factorization.

2338902720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 2338902720 is about 48362.2034237482. The cubic root of 2338902720 is about 1327.4068454747.

The spelling of 2338902720 in words is "two billion, three hundred thirty-eight million, nine hundred two thousand, seven hundred twenty".