2749106880 has 336 divisors, whose sum is σ = 10298119104. Its totient is φ = 669081600.

The previous prime is 2749106869. The next prime is 2749106891. The reversal of 2749106880 is 886019472.

2749106880 is a `hidden beast` number, since 27 + 491 + 0 + 68 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (2749106869) and next prime (2749106891).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3781077 + ... + 3781803.

It is an arithmetic number, because the mean of its divisors is an integer number (30649164).

Almost surely, 2^2749106880 is an apocalyptic number.

2749106880 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 2749106880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5149059552).

2749106880 is an abundant number, since it is smaller than the sum of its proper divisors (7549012224).

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

2749106880 is a wasteful number, since it uses less digits than its factorization.

2749106880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 864 (or 851 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 2749106880 is about 52431.9261519163. The cubic root of 2749106880 is about 1400.8679787619.

The spelling of 2749106880 in words is "two billion, seven hundred forty-nine million, one hundred six thousand, eight hundred eighty".