2749559472 has 240 divisors, whose sum is σ = 9056087040. Its totient is φ = 796625280.

The previous prime is 2749559471. The next prime is 2749559479.

2749559472 is a `hidden beast` number, since 2 + 7 + 49 + 5 + 594 + 7 + 2 = 666.

2749559472 is nontrivially palindromic in base 10.

2749559472 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (2749559471) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1201113 + ... + 1203399.

It is an arithmetic number, because the mean of its divisors is an integer number (37733696).

Almost surely, 2^2749559472 is an apocalyptic number.

2749559472 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 2749559472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4528043520).

2749559472 is an abundant number, since it is smaller than the sum of its proper divisors (6306527568).

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

2749559472 is a wasteful number, since it uses less digits than its factorization.

2749559472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2349 (or 2326 counting only the distinct ones).

The product of its digits is 6350400, while the sum is 54.

The square root of 2749559472 is about 52436.2419706066. The cubic root of 2749559472 is about 1400.9448506186.

The spelling of 2749559472 in words is "two billion, seven hundred forty-nine million, five hundred fifty-nine thousand, four hundred seventy-two".