2312284000 has 192 divisors, whose sum is σ = 6241173120. Its totient is φ = 836659200.

The previous prime is 2312283973. The next prime is 2312284003. The reversal of 2312284000 is 4822132.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2312284003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2755581 + ... + 2756419.

It is an arithmetic number, because the mean of its divisors is an integer number (32506110).

Almost surely, 2^2312284000 is an apocalyptic number.

2312284000 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 2312284000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3120586560).

2312284000 is an abundant number, since it is smaller than the sum of its proper divisors (3928889120).

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

2312284000 is a wasteful number, since it uses less digits than its factorization.

2312284000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 930 (or 912 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 2312284000 is about 48086.2142406740. The cubic root of 2312284000 is about 1322.3519440031.

The spelling of 2312284000 in words is "two billion, three hundred twelve million, two hundred eighty-four thousand".