2746830240 has 432 divisors, whose sum is σ = 11898563040. Its totient is φ = 570608640.

The previous prime is 2746830227. The next prime is 2746830257. The reversal of 2746830240 is 420386472.

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 = 2746830195 and 2746830204.

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, 774391 + ... + 777929.

It is an arithmetic number, because the mean of its divisors is an integer number (27542970).

Almost surely, 2^2746830240 is an apocalyptic number.

2746830240 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 2746830240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5949281520).

2746830240 is an abundant number, since it is smaller than the sum of its proper divisors (9151732800).

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

2746830240 is a wasteful number, since it uses less digits than its factorization.

2746830240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3585 (or 3567 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 2746830240 is about 52410.2112188074. The cubic root of 2746830240 is about 1400.4811679411.

The spelling of 2746830240 in words is "two billion, seven hundred forty-six million, eight hundred thirty thousand, two hundred forty".