2749332960 has 432 divisors, whose sum is σ = 10666131840. Its totient is φ = 643737600.

The previous prime is 2749332947. The next prime is 2749332979. The reversal of 2749332960 is 692339472.

2749332960 is a `hidden beast` number, since 274 + 93 + 3 + 296 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5401186 + ... + 5401694.

It is an arithmetic number, because the mean of its divisors is an integer number (24690120).

Almost surely, 2^2749332960 is an apocalyptic number.

2749332960 is a gapful number since it is divisible by the number (20) 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 2749332960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5333065920).

2749332960 is an abundant number, since it is smaller than the sum of its proper divisors (7916798880).

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

2749332960 is a wasteful number, since it uses less digits than its factorization.

2749332960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 583 (or 561 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 45.

The square root of 2749332960 is about 52434.0820459365. The cubic root of 2749332960 is about 1400.9063790576.

The spelling of 2749332960 in words is "two billion, seven hundred forty-nine million, three hundred thirty-two thousand, nine hundred sixty".