2542131540 has 120 divisors (see below), whose sum is σ = 8588275080. Its totient is φ = 625750272.

The previous prime is 2542131517. The next prime is 2542131541. The reversal of 2542131540 is 451312452.

2542131540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 156816 + 2541974724 = 396^2 + 50418^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2542131541) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 39295 + ... + 81414.

It is an arithmetic number, because the mean of its divisors is an integer number (71568959).

Almost surely, 2^2542131540 is an apocalyptic number.

2542131540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2542131540 is an abundant number, since it is smaller than the sum of its proper divisors (6046143540).

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

2542131540 is a wasteful number, since it uses less digits than its factorization.

2542131540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120743 (or 120732 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 2542131540 is about 50419.5551348879. Note that the first 3 decimals coincide. The cubic root of 2542131540 is about 1364.7905487103.

Adding to 2542131540 its reverse (451312452), we get a palindrome (2993443992).

The spelling of 2542131540 in words is "two billion, five hundred forty-two million, one hundred thirty-one thousand, five hundred forty".