2750610240 has 672 divisors, whose sum is σ = 11716024320. Its totient is φ = 578285568.

The previous prime is 2750610223. The next prime is 2750610287. The reversal of 2750610240 is 420160572.

2750610240 is a `hidden beast` number, since 2 + 7 + 5 + 0 + 610 + 2 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 16470637 + ... + 16470803.

It is an arithmetic number, because the mean of its divisors is an integer number (17434560).

Almost surely, 2^2750610240 is an apocalyptic number.

2750610240 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 2750610240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5858012160).

2750610240 is an abundant number, since it is smaller than the sum of its proper divisors (8965414080).

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

2750610240 is a wasteful number, since it uses less digits than its factorization.

2750610240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 2750610240 is about 52446.2604958638. The cubic root of 2750610240 is about 1401.1232889651.

The spelling of 2750610240 in words is "two billion, seven hundred fifty million, six hundred ten thousand, two hundred forty".