2538834408 has 128 divisors (see below), whose sum is σ = 7838985600. Its totient is φ = 754790400.

The previous prime is 2538834379. The next prime is 2538834409. The reversal of 2538834408 is 8044388352.

2538834408 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (2538834409) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 115848 + ... + 136008.

It is an arithmetic number, because the mean of its divisors is an integer number (61242075).

Almost surely, 2^2538834408 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 2538834408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3919492800).

2538834408 is an abundant number, since it is smaller than the sum of its proper divisors (5300151192).

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

2538834408 is a wasteful number, since it uses less digits than its factorization.

2538834408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20240 (or 20230 counting only the distinct ones).

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

The square root of 2538834408 is about 50386.8475695791. The cubic root of 2538834408 is about 1364.2002512413.

The spelling of 2538834408 in words is "two billion, five hundred thirty-eight million, eight hundred thirty-four thousand, four hundred eight".