2948284741249 has 9 divisors (see below), whose sum is σ = 2954232568521. Its totient is φ = 2942348875200.

The previous prime is 2948284741229. The next prime is 2948284741301. The reversal of 2948284741249 is 9421474828492.

The square root of 2948284741249 is 1717057.

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

It can be written as a sum of positive squares in 4 ways, for example, as 810747172225 + 2137537569024 = 900415^2 + 1462032^2 .

It is not a de Polignac number, because 2948284741249 - 2¹⁹ = 2948284216961 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2948284741229) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1031949829 + ... + 1031952685.

It is an arithmetic number, because the mean of its divisors is an integer number (328248063169).

Almost surely, 2^{2948284741249} is an apocalyptic number.

2948284741249 is the 1717057-th square number.

2948284741249 is the 858529-th centered octagonal number.

It is an amenable number.

2948284741249 is a deficient number, since it is larger than the sum of its proper divisors (5947827272).

2948284741249 is an frugal number, since it uses more digits than its factorization.

2948284741249 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6916 (or 3458 counting only the distinct ones).

The product of its digits is 74317824, while the sum is 64.

Multiplying 2948284741249 by its sum of digits (64), we get a square (188690223439936 = 13736456²).

The spelling of 2948284741249 in words is "two trillion, nine hundred forty-eight billion, two hundred eighty-four million, seven hundred forty-one thousand, two hundred forty-nine".