2538908928 has 432 divisors, whose sum is σ = 8433707520. Its totient is φ = 752025600.

The previous prime is 2538908927. The next prime is 2538908941. The reversal of 2538908928 is 8298098352.

2538908928 is a `hidden beast` number, since 2 + 538 + 9 + 0 + 89 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2538908927) 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 47 ways as a sum of consecutive naturals, for example, 61924588 + ... + 61924628.

Almost surely, 2^2538908928 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 2538908928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4216853760).

2538908928 is an abundant number, since it is smaller than the sum of its proper divisors (5894798592).

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

2538908928 is a wasteful number, since it uses less digits than its factorization.

2538908928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The square root of 2538908928 is about 50387.5870428422. The cubic root of 2538908928 is about 1364.2135984697.

The spelling of 2538908928 in words is "two billion, five hundred thirty-eight million, nine hundred eight thousand, nine hundred twenty-eight".