2542958138944 has 28 divisors (see below), whose sum is σ = 5046776400204. Its totient is φ = 1271329439744.

The previous prime is 2542958138939. The next prime is 2542958139049. The reversal of 2542958138944 is 4498318592452.

It can be written as a sum of positive squares in 2 ways, for example, as 1265805006400 + 1277153132544 = 1125080^2 + 1130112^2 .

It is a super-3 number, since 3×2542958138944³ (a number of 38 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (64) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1788877 + ... + 2878540.

It is an arithmetic number, because the mean of its divisors is an integer number (180242014293).

Almost surely, 2^{2542958138944} is an apocalyptic number.

It is an amenable number.

2542958138944 is a deficient number, since it is larger than the sum of its proper divisors (2503818261260).

2542958138944 is an equidigital number, since it uses as much as digits as its factorization.

2542958138944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4675942 (or 4675932 counting only the distinct ones).

The product of its digits is 99532800, while the sum is 64.

The spelling of 2542958138944 in words is "two trillion, five hundred forty-two billion, nine hundred fifty-eight million, one hundred thirty-eight thousand, nine hundred forty-four".