2532728016 has 240 divisors, whose sum is σ = 8764689024. Its totient is φ = 664851456.

The previous prime is 2532727979. The next prime is 2532728059. The reversal of 2532728016 is 6108272352.

It is a super-2 number, since 2×2532728016² = 12829422406062592512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4546810 + ... + 4547366.

Almost surely, 2^2532728016 is an apocalyptic number.

2532728016 is a gapful number since it is divisible by the number (26) 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 2532728016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4382344512).

2532728016 is an abundant number, since it is smaller than the sum of its proper divisors (6231961008).

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

2532728016 is a wasteful number, since it uses less digits than its factorization.

2532728016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 938 (or 929 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 2532728016 is about 50326.2159912704. The cubic root of 2532728016 is about 1363.1056506231.

The spelling of 2532728016 in words is "two billion, five hundred thirty-two million, seven hundred twenty-eight thousand, sixteen".