2031224832 has 432 divisors, whose sum is σ = 7391786220. Its totient is φ = 532611072.

The previous prime is 2031224831. The next prime is 2031224843. The reversal of 2031224832 is 2384221302.

It can be written as a sum of positive squares in 2 ways, for example, as 2027160576 + 4064256 = 45024^2 + 2016^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 2031224796 and 2031224805.

It is not an unprimeable number, because it can be changed into a prime (2031224831) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 11741098 + ... + 11741270.

Almost surely, 2^2031224832 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2031224832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3695893110).

2031224832 is an abundant number, since it is smaller than the sum of its proper divisors (5360561388).

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

2031224832 is a wasteful number, since it uses less digits than its factorization.

2031224832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 2031224832 is about 45069.1117285442. Note that the first 3 decimals coincide. The cubic root of 2031224832 is about 1266.4440241493. Note that the first 3 decimals are identical.

The spelling of 2031224832 in words is "two billion, thirty-one million, two hundred twenty-four thousand, eight hundred thirty-two".