2393948800 has 96 divisors (see below), whose sum is σ = 5930362620. Its totient is φ = 954900480.

The previous prime is 2393948749. The next prime is 2393948827. The reversal of 2393948800 is 88493932.

It can be written as a sum of positive squares in 6 ways, for example, as 638673984 + 1755274816 = 25272^2 + 41896^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1461582 + ... + 1463218.

Almost surely, 2^2393948800 is an apocalyptic number.

2393948800 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 2393948800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2965181310).

2393948800 is an abundant number, since it is smaller than the sum of its proper divisors (3536413820).

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

2393948800 is a wasteful number, since it uses less digits than its factorization.

2393948800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2118 (or 2101 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 46.

The square root of 2393948800 is about 48927.9960758664. The cubic root of 2393948800 is about 1337.7397107260.

The spelling of 2393948800 in words is "two billion, three hundred ninety-three million, nine hundred forty-eight thousand, eight hundred".