2538832896 has 308 divisors, whose sum is σ = 8054535600. Its totient is φ = 797257728.

The previous prime is 2538832883. The next prime is 2538832949. The reversal of 2538832896 is 6982388352.

2538832896 is a `hidden beast` number, since 2 + 538 + 83 + 28 + 9 + 6 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 14183335 + ... + 14183513.

Almost surely, 2^2538832896 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 2538832896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4027267800).

2538832896 is an abundant number, since it is smaller than the sum of its proper divisors (5515702704).

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

2538832896 is an equidigital number, since it uses as much as digits as its factorization.

2538832896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 203 counting only the distinct ones).

The product of its digits is 4976640, while the sum is 54.

The square root of 2538832896 is about 50386.8325656614. The cubic root of 2538832896 is about 1364.1999804253.

The spelling of 2538832896 in words is "two billion, five hundred thirty-eight million, eight hundred thirty-two thousand, eight hundred ninety-six".