2327864400 has 480 divisors, whose sum is σ = 9077990400. Its totient is φ = 564019200.

The previous prime is 2327864359. The next prime is 2327864419. The reversal of 2327864400 is 44687232.

2327864400 is a `hidden beast` number, since 2 + 3 + 2 + 7 + 8 + 644 + 0 + 0 = 666.

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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5691396 + ... + 5691804.

It is an arithmetic number, because the mean of its divisors is an integer number (18912480).

Almost surely, 2^2327864400 is an apocalyptic number.

2327864400 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 2327864400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4538995200).

2327864400 is an abundant number, since it is smaller than the sum of its proper divisors (6750126000).

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

2327864400 is a wasteful number, since it uses less digits than its factorization.

2327864400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 484 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 2327864400 is about 48247.9471065868. The cubic root of 2327864400 is about 1325.3153444284.

It can be divided in two parts, 23278 and 64400, that added together give a palindrome (87678).

The spelling of 2327864400 in words is "two billion, three hundred twenty-seven million, eight hundred sixty-four thousand, four hundred".