2327690400 has 288 divisors, whose sum is σ = 8705692800. Its totient is φ = 529182720.

The previous prime is 2327690383. The next prime is 2327690401. The reversal of 2327690400 is 40967232.

2327690400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (2327690401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5863002 + ... + 5863398.

It is an arithmetic number, because the mean of its divisors is an integer number (30228100).

Almost surely, 2^2327690400 is an apocalyptic number.

2327690400 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 2327690400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4352846400).

2327690400 is an abundant number, since it is smaller than the sum of its proper divisors (6378002400).

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

2327690400 is a wasteful number, since it uses less digits than its factorization.

2327690400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 776 (or 763 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 33.

The square root of 2327690400 is about 48246.1438873616. The cubic root of 2327690400 is about 1325.2823226573.

The spelling of 2327690400 in words is "two billion, three hundred twenty-seven million, six hundred ninety thousand, four hundred".