2750682240 has 384 divisors, whose sum is σ = 10291881600. Its totient is φ = 700710912.

The previous prime is 2750682223. The next prime is 2750682257. The reversal of 2750682240 is 422860572.

It is an interprime number because it is at equal distance from previous prime (2750682223) and next prime (2750682257).

It is a tau number, because it is divible by the number of its divisors (384).

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 = 2750682195 and 2750682204.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3576576 + ... + 3577344.

It is an arithmetic number, because the mean of its divisors is an integer number (26801775).

Almost surely, 2^2750682240 is an apocalyptic number.

2750682240 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 2750682240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5145940800).

2750682240 is an abundant number, since it is smaller than the sum of its proper divisors (7541199360).

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

2750682240 is an equidigital number, since it uses as much as digits as its factorization.

2750682240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 826 (or 802 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 2750682240 is about 52446.9469082806. The cubic root of 2750682240 is about 1401.1355141306.

It can be divided in two parts, 27506 and 82240, that added together give a triangular number (109746 = T₄₆₈).

The spelling of 2750682240 in words is "two billion, seven hundred fifty million, six hundred eighty-two thousand, two hundred forty".