2542564312134 has 128 divisors (see below), whose sum is σ = 6539943186432. Its totient is φ = 639725869440.

The previous prime is 2542564312117. The next prime is 2542564312147. The reversal of 2542564312134 is 4312134652452.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3552717 + ... + 4207959.

It is an arithmetic number, because the mean of its divisors is an integer number (51093306144).

Almost surely, 2^{2542564312134} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2542564312134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3269971593216).

2542564312134 is an abundant number, since it is smaller than the sum of its proper divisors (3997378874298).

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

2542564312134 is a wasteful number, since it uses less digits than its factorization.

2542564312134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 655530.

The product of its digits is 691200, while the sum is 42.

Adding to 2542564312134 its reverse (4312134652452), we get a palindrome (6854698964586).

The spelling of 2542564312134 in words is "two trillion, five hundred forty-two billion, five hundred sixty-four million, three hundred twelve thousand, one hundred thirty-four".