2312000 has 84 divisors (see below), whose sum is σ = 6082284. Its totient is φ = 870400.

The previous prime is 2311993. The next prime is 2312021. The reversal of 2312000 is 2132.

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 6 ways, for example, as 215296 + 2096704 = 464^2 + 1448^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 135992 + ... + 136008.

2^2312000 is an apocalyptic number.

2312000 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 2312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3041142).

2312000 is an abundant number, since it is smaller than the sum of its proper divisors (3770284).

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

2312000 is an equidigital number, since it uses as much as digits as its factorization.

2312000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61 (or 24 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 8.

The square root of 2312000 is about 1520.5262246999. The cubic root of 2312000 is about 132.2297803692.

Adding to 2312000 its reverse (2132), we get a palindrome (2314132).

The spelling of 2312000 in words is "two million, three hundred twelve thousand".