2310400000 has 216 divisors, whose sum is σ = 6094121670. Its totient is φ = 875520000.

The previous prime is 2310399997. The next prime is 2310400051. The reversal of 2310400000 is 40132.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 3 ways, for example, as 3326976 + 2307073024 = 1824^2 + 48032^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a self number, because there is not a number n which added to its sum of digits gives 2310400000.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 121599991 + ... + 121600009.

Almost surely, 2^2310400000 is an apocalyptic number.

2310400000 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 2310400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3047060835).

2310400000 is an abundant number, since it is smaller than the sum of its proper divisors (3783721670).

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

2310400000 is an frugal number, since it uses more digits than its factorization.

2310400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 26 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 2310400000 is about 48066.6204345594. The cubic root of 2310400000 is about 1321.9927049720.

Multiplying 2310400000 by its sum of digits (10), we get a square (23104000000 = 152000²).

2310400000 divided by its sum of digits (10) gives a square (231040000 = 15200²).

Adding to 2310400000 its reverse (40132), we get a palindrome (2310440132).

The spelling of 2310400000 in words is "two billion, three hundred ten million, four hundred thousand".