2742892444224 has 189 divisors, whose sum is σ = 7931773115721. Its totient is φ = 906255129600.

The previous prime is 2742892444207. The next prime is 2742892444247. The reversal of 2742892444224 is 4224442982472.

The square root of 2742892444224 is 1656168.

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

2742892444224 is a `hidden beast` number, since 2 + 74 + 28 + 92 + 4 + 442 + 24 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2372216040000 + 370676404224 = 1540200^2 + 608832^2 .

It is a super-2 number, since 2×2742892444224² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 6001952604 + ... + 6001953060.

Almost surely, 2^{2742892444224} is an apocalyptic number.

2742892444224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

2742892444224 is the 1656168-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2742892444224

2742892444224 is an abundant number, since it is smaller than the sum of its proper divisors (5188880671497).

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

2742892444224 is an frugal number, since it uses more digits than its factorization.

2742892444224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1234 (or 613 counting only the distinct ones).

The product of its digits is 16515072, while the sum is 54.

The spelling of 2742892444224 in words is "two trillion, seven hundred forty-two billion, eight hundred ninety-two million, four hundred forty-four thousand, two hundred twenty-four".