2312042400 has 288 divisors, whose sum is σ = 8652571200. Its totient is φ = 595123200.

The previous prime is 2312042399. The next prime is 2312042401. The reversal of 2312042400 is 42402132.

It is an interprime number because it is at equal distance from previous prime (2312042399) and next prime (2312042401).

It is a tau number, because it is divible by the number of its divisors (288).

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

It is not an unprimeable number, because it can be changed into a prime (2312042401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 624555 + ... + 628245.

It is an arithmetic number, because the mean of its divisors is an integer number (30043650).

Almost surely, 2^2312042400 is an apocalyptic number.

2312042400 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 2312042400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4326285600).

2312042400 is an abundant number, since it is smaller than the sum of its proper divisors (6340528800).

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

2312042400 is a wasteful number, since it uses less digits than its factorization.

2312042400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3749 (or 3730 counting only the distinct ones).

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

The square root of 2312042400 is about 48083.7020205391. The cubic root of 2312042400 is about 1322.3058868929.

Adding to 2312042400 its reverse (42402132), we get a palindrome (2354444532).

The spelling of 2312042400 in words is "two billion, three hundred twelve million, forty-two thousand, four hundred".