2312420400 has 300 divisors, whose sum is σ = 8372232000. Its totient is φ = 611228160.

The previous prime is 2312420389. The next prime is 2312420471. The reversal of 2312420400 is 40242132.

2312420400 is a `hidden beast` number, since 23 + 1 + 242 + 0 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (300).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 4827361 + ... + 4827839.

It is an arithmetic number, because the mean of its divisors is an integer number (27907440).

Almost surely, 2^2312420400 is an apocalyptic number.

2312420400 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 2312420400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4186116000).

2312420400 is an abundant number, since it is smaller than the sum of its proper divisors (6059811600).

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

2312420400 is a wasteful number, since it uses less digits than its factorization.

2312420400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 658 (or 638 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 2312420400 is about 48087.6325056662. The cubic root of 2312420400 is about 1322.3779450276.

Adding to 2312420400 its reverse (40242132), we get a palindrome (2352662532).

The spelling of 2312420400 in words is "two billion, three hundred twelve million, four hundred twenty thousand, four hundred".