2538248832 has 256 divisors, whose sum is σ = 8616960000. Its totient is φ = 720534528.

The previous prime is 2538248831. The next prime is 2538248861. The reversal of 2538248832 is 2388428352.

It is a happy number.

2538248832 is a `hidden beast` number, since 2 + 538 + 2 + 4 + 88 + 32 = 666.

It is not an unprimeable number, because it can be changed into a prime (2538248831) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 5781669 + ... + 5782107.

It is an arithmetic number, because the mean of its divisors is an integer number (33660000).

Almost surely, 2^2538248832 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 2538248832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4308480000).

2538248832 is an abundant number, since it is smaller than the sum of its proper divisors (6078711168).

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

2538248832 is a wasteful number, since it uses less digits than its factorization.

2538248832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 708 (or 690 counting only the distinct ones).

The product of its digits is 737280, while the sum is 45.

The square root of 2538248832 is about 50381.0364323721. The cubic root of 2538248832 is about 1364.0953600166.

The spelling of 2538248832 in words is "two billion, five hundred thirty-eight million, two hundred forty-eight thousand, eight hundred thirty-two".