2749710240 has 288 divisors, whose sum is σ = 9807557760. Its totient is φ = 727501824.

The previous prime is 2749710221. The next prime is 2749710251. The reversal of 2749710240 is 420179472.

2749710240 is a `hidden beast` number, since 27 + 497 + 102 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2749710195 and 2749710204.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7659181 + ... + 7659539.

It is an arithmetic number, because the mean of its divisors is an integer number (34054020).

Almost surely, 2^2749710240 is an apocalyptic number.

2749710240 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 2749710240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4903778880).

2749710240 is an abundant number, since it is smaller than the sum of its proper divisors (7057847520).

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

2749710240 is a wasteful number, since it uses less digits than its factorization.

2749710240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 586 (or 566 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 2749710240 is about 52437.6795825292. The cubic root of 2749710240 is about 1400.9704563923.

The spelling of 2749710240 in words is "two billion, seven hundred forty-nine million, seven hundred ten thousand, two hundred forty".