2538659232 has 180 divisors, whose sum is σ = 7933484790. Its totient is φ = 796207104.

The previous prime is 2538659219. The next prime is 2538659237. The reversal of 2538659232 is 2329568352.

2538659232 is a `hidden beast` number, since 2 + 53 + 8 + 6 + 592 + 3 + 2 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 2428912656 + 109746576 = 49284^2 + 10476^2 .

It is not an unprimeable number, because it can be changed into a prime (2538659237) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 747394 + ... + 750782.

Almost surely, 2^2538659232 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 2538659232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3966742395).

2538659232 is an abundant number, since it is smaller than the sum of its proper divisors (5394825558).

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

2538659232 is a wasteful number, since it uses less digits than its factorization.

2538659232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3445 (or 3411 counting only the distinct ones).

The product of its digits is 777600, while the sum is 45.

The square root of 2538659232 is about 50385.1092288188. The cubic root of 2538659232 is about 1364.1688745541.

The spelling of 2538659232 in words is "two billion, five hundred thirty-eight million, six hundred fifty-nine thousand, two hundred thirty-two".