2942638329744 has 135 divisors (see below), whose sum is σ = 8295592643793. Its totient is φ = 973750190976.

The previous prime is 2942638329737. The next prime is 2942638329803. The reversal of 2942638329744 is 4479238362492.

The square root of 2942638329744 is 1715412.

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

2942638329744 is a `hidden beast` number, since 2 + 9 + 4 + 263 + 8 + 329 + 7 + 44 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2479302176400 + 463336153344 = 1574580^2 + 680688^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3355345434 + ... + 3355346310.

Almost surely, 2^{2942638329744} is an apocalyptic number.

2942638329744 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

2942638329744 is the 1715412-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2942638329744

2942638329744 is an abundant number, since it is smaller than the sum of its proper divisors (5352954314049).

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

2942638329744 is an frugal number, since it uses more digits than its factorization.

2942638329744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2094 (or 1045 counting only the distinct ones).

The product of its digits is 125411328, while the sum is 63.

The spelling of 2942638329744 in words is "two trillion, nine hundred forty-two billion, six hundred thirty-eight million, three hundred twenty-nine thousand, seven hundred forty-four".