2542149625744 has 45 divisors (see below), whose sum is σ = 4946697965937. Its totient is φ = 1265605979712.

The previous prime is 2542149625739. The next prime is 2542149625751. The reversal of 2542149625744 is 4475269412452.

It is a happy number.

The square root of 2542149625744 is 1594412.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 438164563600 + 2103985062144 = 661940^2 + 1450512^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1766607777 + ... + 1766609215.

Almost surely, 2^{2542149625744} is an apocalyptic number.

2542149625744 is the 1594412-nd square number.

It is an amenable number.

2542149625744 is a deficient number, since it is larger than the sum of its proper divisors (2404548340193).

2542149625744 is an frugal number, since it uses more digits than its factorization.

2542149625744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3440 (or 1718 counting only the distinct ones).

The product of its digits is 19353600, while the sum is 55.

The spelling of 2542149625744 in words is "two trillion, five hundred forty-two billion, one hundred forty-nine million, six hundred twenty-five thousand, seven hundred forty-four".