2538926208 has 672 divisors, whose sum is σ = 9792930240. Its totient is φ = 640493568.

The previous prime is 2538926197. The next prime is 2538926213. The reversal of 2538926208 is 8026298352.

It is a happy number.

2538926208 is a `hidden beast` number, since 2 + 5 + 389 + 262 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×2538926208² = 12892292579338518528, which contains 22 as substring.

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 83 ways as a sum of consecutive naturals, for example, 110388085 + ... + 110388107.

Almost surely, 2^2538926208 is an apocalyptic number.

2538926208 is a gapful number since it is divisible by the number (28) 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 2538926208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4896465120).

2538926208 is an abundant number, since it is smaller than the sum of its proper divisors (7254004032).

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

2538926208 is an equidigital number, since it uses as much as digits as its factorization.

2538926208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 2538926208 is about 50387.7585133532. The cubic root of 2538926208 is about 1364.2166934419.

It can be divided in two parts, 253892 and 6208, that added together give a square (260100 = 510²).

The spelling of 2538926208 in words is "two billion, five hundred thirty-eight million, nine hundred twenty-six thousand, two hundred eight".