2381324400 has 480 divisors, whose sum is σ = 10435998720. Its totient is φ = 502225920.

The previous prime is 2381324333. The next prime is 2381324401. The reversal of 2381324400 is 44231832.

2381324400 is a `hidden beast` number, since 238 + 1 + 3 + 24 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2381324401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 981589 + ... + 984011.

It is an arithmetic number, because the mean of its divisors is an integer number (21741664).

Almost surely, 2^2381324400 is an apocalyptic number.

2381324400 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 2381324400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5217999360).

2381324400 is an abundant number, since it is smaller than the sum of its proper divisors (8054674320).

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

2381324400 is a wasteful number, since it uses less digits than its factorization.

2381324400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2470 (or 2453 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 2381324400 is about 48798.8155593965. The cubic root of 2381324400 is about 1335.3840581676.

The spelling of 2381324400 in words is "two billion, three hundred eighty-one million, three hundred twenty-four thousand, four hundred".