2313410152400 has 120 divisors (see below), whose sum is σ = 5635564431000. Its totient is φ = 912513761280.

The previous prime is 2313410152373. The next prime is 2313410152439. The reversal of 2313410152400 is 42510143132.

It is a happy number.

2313410152400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 569880049216 + 1743530103184 = 754904^2 + 1320428^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2313410152400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10639976 + ... + 10855224.

It is an arithmetic number, because the mean of its divisors is an integer number (46963036925).

Almost surely, 2^{2313410152400} is an apocalyptic number.

2313410152400 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 2313410152400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2817782215500).

2313410152400 is an abundant number, since it is smaller than the sum of its proper divisors (3322154278600).

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

2313410152400 is a wasteful number, since it uses less digits than its factorization.

2313410152400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215641 (or 215630 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

Adding to 2313410152400 its reverse (42510143132), we get a palindrome (2355920295532).

The spelling of 2313410152400 in words is "two trillion, three hundred thirteen billion, four hundred ten million, one hundred fifty-two thousand, four hundred".