2312005200 has 120 divisors (see below), whose sum is σ = 7563884928. Its totient is φ = 603402240.

The previous prime is 2312005183. The next prime is 2312005217. The reversal of 2312005200 is 25002132.

It is an interprime number because it is at equal distance from previous prime (2312005183) and next prime (2312005217).

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2312005200.

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, 35904 + ... + 76896.

Almost surely, 2^2312005200 is an apocalyptic number.

2312005200 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 2312005200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3781942464).

2312005200 is an abundant number, since it is smaller than the sum of its proper divisors (5251879728).

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

2312005200 is a wasteful number, since it uses less digits than its factorization.

2312005200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41061 (or 41050 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 2312005200 is about 48083.3151935263. The cubic root of 2312005200 is about 1322.2987950329.

Adding to 2312005200 its reverse (25002132), we get a palindrome (2337007332).

The spelling of 2312005200 in words is "two billion, three hundred twelve million, five thousand, two hundred".