2781983232 has 450 divisors, whose sum is σ = 9927272817. Its totient is φ = 773369856.

The previous prime is 2781983221. The next prime is 2781983233. The reversal of 2781983232 is 2323891872.

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 2 ways, for example, as 2244485376 + 537497856 = 47376^2 + 23184^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=37296.

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is not an unprimeable number, because it can be changed into a prime (2781983233) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 75188718 + ... + 75188754.

Almost surely, 2^2781983232 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 2781983232

2781983232 is an abundant number, since it is smaller than the sum of its proper divisors (7145289585).

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

2781983232 is an frugal number, since it uses more digits than its factorization.

2781983232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 49 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 2781983232 is about 52744.5090222670. The cubic root of 2781983232 is about 1406.4301546261.

The spelling of 2781983232 in words is "two billion, seven hundred eighty-one million, nine hundred eighty-three thousand, two hundred thirty-two".