2532980736 has 432 divisors, whose sum is σ = 8880875640. Its totient is φ = 685670400.

The previous prime is 2532980707. The next prime is 2532980759. The reversal of 2532980736 is 6370892352.

2532980736 is a `hidden beast` number, since 2 + 532 + 9 + 80 + 7 + 36 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2532980691 and 2532980700.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 81709041 + ... + 81709071.

Almost surely, 2^2532980736 is an apocalyptic number.

2532980736 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 2532980736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4440437820).

2532980736 is an abundant number, since it is smaller than the sum of its proper divisors (6347894904).

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

2532980736 is a wasteful number, since it uses less digits than its factorization.

2532980736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 2532980736 is about 50328.7267472564. The cubic root of 2532980736 is about 1363.1509867982.

The spelling of 2532980736 in words is "two billion, five hundred thirty-two million, nine hundred eighty thousand, seven hundred thirty-six".