2542131306 has 96 divisors (see below), whose sum is σ = 6493975488. Its totient is φ = 708549120.

The previous prime is 2542131301. The next prime is 2542131313. The reversal of 2542131306 is 6031312452.

2542131306 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 2542131306.

It is not an unprimeable number, because it can be changed into a prime (2542131301) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 788610 + ... + 791826.

It is an arithmetic number, because the mean of its divisors is an integer number (67645578).

Almost surely, 2^2542131306 is an apocalyptic number.

2542131306 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2542131306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3246987744).

2542131306 is an abundant number, since it is smaller than the sum of its proper divisors (3951844182).

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

2542131306 is a wasteful number, since it uses less digits than its factorization.

2542131306 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3556 (or 3553 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 2542131306 is about 50419.5528143596. The cubic root of 2542131306 is about 1364.7905068345.

Adding to 2542131306 its reverse (6031312452), we get a palindrome (8573443758).

The spelling of 2542131306 in words is "two billion, five hundred forty-two million, one hundred thirty-one thousand, three hundred six".