2312400420 has 192 divisors, whose sum is σ = 7960135680. Its totient is φ = 552585600.

The previous prime is 2312400397. The next prime is 2312400437. The reversal of 2312400420 is 240042132.

2312400420 is a `hidden beast` number, since 2 + 3 + 1 + 240 + 0 + 420 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 2312400393 and 2312400402.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 418999 + ... + 424481.

It is an arithmetic number, because the mean of its divisors is an integer number (41459040).

Almost surely, 2^2312400420 is an apocalyptic number.

2312400420 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 2312400420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3980067840).

2312400420 is an abundant number, since it is smaller than the sum of its proper divisors (5647735260).

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

2312400420 is a wasteful number, since it uses less digits than its factorization.

2312400420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5583 (or 5575 counting only the distinct ones).

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

The square root of 2312400420 is about 48087.4247594940. The cubic root of 2312400420 is about 1322.3741364371.

Adding to 2312400420 its reverse (240042132), we get a palindrome (2552442552).

The spelling of 2312400420 in words is "two billion, three hundred twelve million, four hundred thousand, four hundred twenty".