2340748800 has 480 divisors, whose sum is σ = 9270344160. Its totient is φ = 575078400.

The previous prime is 2340748771. The next prime is 2340748867. The reversal of 2340748800 is 88470432.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

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, 4492540 + ... + 4493060.

It is an arithmetic number, because the mean of its divisors is an integer number (19313217).

Almost surely, 2^2340748800 is an apocalyptic number.

2340748800 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 2340748800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4635172080).

2340748800 is an abundant number, since it is smaller than the sum of its proper divisors (6929595360).

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

2340748800 is a wasteful number, since it uses less digits than its factorization.

2340748800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 571 (or 544 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 2340748800 is about 48381.2856381473. The cubic root of 2340748800 is about 1327.7559913612.

The spelling of 2340748800 in words is "two billion, three hundred forty million, seven hundred forty-eight thousand, eight hundred".