2542332141252 has 96 divisors (see below), whose sum is σ = 6639854807040. Its totient is φ = 841206500640.

The previous prime is 2542332141229. The next prime is 2542332141281. The reversal of 2542332141252 is 2521412332452.

2542332141252 is a `hidden beast` number, since 2 + 5 + 4 + 233 + 2 + 1 + 412 + 5 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13015227 + ... + 13209117.

It is an arithmetic number, because the mean of its divisors is an integer number (69165154240).

Almost surely, 2^{2542332141252} 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 2542332141252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3319927403520).

2542332141252 is an abundant number, since it is smaller than the sum of its proper divisors (4097522665788).

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

2542332141252 is a wasteful number, since it uses less digits than its factorization.

2542332141252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194798 (or 194790 counting only the distinct ones).

The product of its digits is 115200, while the sum is 36.

The spelling of 2542332141252 in words is "two trillion, five hundred forty-two billion, three hundred thirty-two million, one hundred forty-one thousand, two hundred fifty-two".