2312352000 has 864 divisors, whose sum is σ = 10081204224. Its totient is φ = 497664000.

The previous prime is 2312351981. The next prime is 2312352001. The reversal of 2312352000 is 2532132.

2312352000 is a `hidden beast` number, since 2 + 312 + 352 + 0 + 0 + 0 = 666.

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 (2312352001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 62495982 + ... + 62496018.

Almost surely, 2^2312352000 is an apocalyptic number.

2312352000 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 2312352000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5040602112).

2312352000 is an abundant number, since it is smaller than the sum of its proper divisors (7768852224).

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

2312352000 is a wasteful number, since it uses less digits than its factorization.

2312352000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 2312352000 is about 48086.9212988313. The cubic root of 2312352000 is about 1322.3649065185.

Adding to 2312352000 its reverse (2532132), we get a palindrome (2314884132).

The spelling of 2312352000 in words is "two billion, three hundred twelve million, three hundred fifty-two thousand".