2449500447744 has 891 divisors, whose sum is σ = 8804344963323. Its totient is φ = 653881245696.

The previous prime is 2449500447739. The next prime is 2449500447763. The reversal of 2449500447744 is 4477440059442.

The square root of 2449500447744 is 1565088.

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

2449500447744 is a `hidden beast` number, since 2 + 4 + 495 + 0 + 0 + 44 + 77 + 44 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 342590137344 + 2106910310400 = 585312^2 + 1451520^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 17879565244 + ... + 17879565380.

Almost surely, 2^{2449500447744} is an apocalyptic number.

2449500447744 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

2449500447744 is the 1565088-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2449500447744

2449500447744 is an abundant number, since it is smaller than the sum of its proper divisors (6354844515579).

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

2449500447744 is a wasteful number, since it uses less digits than its factorization.

2449500447744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 18063360, while the sum is 54.

The spelling of 2449500447744 in words is "two trillion, four hundred forty-nine billion, five hundred million, four hundred forty-seven thousand, seven hundred forty-four".