2749449472 has 144 divisors (see below), whose sum is σ = 6915129984. Its totient is φ = 1059840000.

The previous prime is 2749449449. The next prime is 2749449481.

2749449472 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1990222 + ... + 1991602.

It is an arithmetic number, because the mean of its divisors is an integer number (48021736).

Almost surely, 2^2749449472 is an apocalyptic number.

2749449472 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2749449472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3457564992).

2749449472 is an abundant number, since it is smaller than the sum of its proper divisors (4165680512).

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

2749449472 is a wasteful number, since it uses less digits than its factorization.

2749449472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1516 (or 1502 counting only the distinct ones).

The product of its digits is 4064256, while the sum is 52.

The square root of 2749449472 is about 52435.1930672521. The cubic root of 2749449472 is about 1400.9261681120.

The spelling of 2749449472 in words is "two billion, seven hundred forty-nine million, four hundred forty-nine thousand, four hundred seventy-two".