2393255200 has 288 divisors, whose sum is σ = 7139543040. Its totient is φ = 765158400.

The previous prime is 2393255177. The next prime is 2393255213. The reversal of 2393255200 is 25523932.

It is a super-3 number, since 3×2393255200³ (a number of 29 digits) contains 333 as substring.

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 47 ways as a sum of consecutive naturals, for example, 8831065 + ... + 8831335.

It is an arithmetic number, because the mean of its divisors is an integer number (24790080).

Almost surely, 2^2393255200 is an apocalyptic number.

2393255200 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 2393255200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3569771520).

2393255200 is an abundant number, since it is smaller than the sum of its proper divisors (4746287840).

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

2393255200 is a wasteful number, since it uses less digits than its factorization.

2393255200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 31.

The square root of 2393255200 is about 48920.9075958327. The cubic root of 2393255200 is about 1337.6105035785.

The spelling of 2393255200 in words is "two billion, three hundred ninety-three million, two hundred fifty-five thousand, two hundred".