2744489222500 has 135 divisors (see below), whose sum is σ = 6378726981319. Its totient is φ = 1032689344000.

The previous prime is 2744489222479. The next prime is 2744489222537. The reversal of 2744489222500 is 52229844472.

The square root of 2744489222500 is 1656650.

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

It can be written as a sum of positive squares in 22 ways, for example, as 2439175509796 + 305313712704 = 1561786^2 + 552552^2 .

It is a Duffinian number.

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 44 ways as a sum of consecutive naturals, for example, 1408151526 + ... + 1408153474.

Almost surely, 2^{2744489222500} is an apocalyptic number.

2744489222500 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2744489222500 is the 1656650-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2744489222500

2744489222500 is an abundant number, since it is smaller than the sum of its proper divisors (3634237758819).

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

2744489222500 is an frugal number, since it uses more digits than its factorization.

2744489222500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3956 (or 1973 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 49.

Multiplying 2744489222500 by its sum of digits (49), we get a square (134479971902500 = 11596550²).

The spelling of 2744489222500 in words is "two trillion, seven hundred forty-four billion, four hundred eighty-nine million, two hundred twenty-two thousand, five hundred".