2327740800 has 768 divisors, whose sum is σ = 9907937280. Its totient is φ = 466329600.

The previous prime is 2327740763. The next prime is 2327740813. The reversal of 2327740800 is 80477232.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 34742367 + ... + 34742433.

It is an arithmetic number, because the mean of its divisors is an integer number (12900960).

Almost surely, 2^2327740800 is an apocalyptic number.

2327740800 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 2327740800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4953968640).

2327740800 is an abundant number, since it is smaller than the sum of its proper divisors (7580196480).

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

2327740800 is a wasteful number, since it uses less digits than its factorization.

2327740800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 33.

The square root of 2327740800 is about 48246.6662060707. Note that the first 3 decimals coincide. The cubic root of 2327740800 is about 1325.2918877534.

The spelling of 2327740800 in words is "two billion, three hundred twenty-seven million, seven hundred forty thousand, eight hundred".