2312216400 has 480 divisors, whose sum is σ = 8718192000. Its totient is φ = 518676480.

The previous prime is 2312216377. The next prime is 2312216411. The reversal of 2312216400 is 46122132.

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, 8595466 + ... + 8595734.

It is an arithmetic number, because the mean of its divisors is an integer number (18162900).

Almost surely, 2^2312216400 is an apocalyptic number.

2312216400 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 2312216400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4359096000).

2312216400 is an abundant number, since it is smaller than the sum of its proper divisors (6405975600).

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

2312216400 is a wasteful number, since it uses less digits than its factorization.

2312216400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 2312216400 is about 48085.5113313771. The cubic root of 2312216400 is about 1322.3390574859.

Adding to 2312216400 its reverse (46122132), we get a palindrome (2358338532).

The spelling of 2312216400 in words is "two billion, three hundred twelve million, two hundred sixteen thousand, four hundred".