2538106340 has 192 divisors, whose sum is σ = 6831433728. Its totient is φ = 769305600.

The previous prime is 2538106331. The next prime is 2538106343. The reversal of 2538106340 is 436018352.

2538106340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 2538106297 and 2538106306.

It is not an unprimeable number, because it can be changed into a prime (2538106343) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12028835 + ... + 12029045.

It is an arithmetic number, because the mean of its divisors is an integer number (35580384).

Almost surely, 2^2538106340 is an apocalyptic number.

2538106340 is a gapful number since it is divisible by the number (20) 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 2538106340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3415716864).

2538106340 is an abundant number, since it is smaller than the sum of its proper divisors (4293327388).

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

2538106340 is a wasteful number, since it uses less digits than its factorization.

2538106340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

The square root of 2538106340 is about 50379.6222693263. The cubic root of 2538106340 is about 1364.0698337153.

The spelling of 2538106340 in words is "two billion, five hundred thirty-eight million, one hundred six thousand, three hundred forty".