2745640 has 32 divisors (see below), whose sum is σ = 6259680. Its totient is φ = 1083712.

The previous prime is 2745637. The next prime is 2745643. The reversal of 2745640 is 465472.

It is an interprime number because it is at equal distance from previous prime (2745637) and next prime (2745643).

It is a d-powerful number, because it can be written as 2⁹ + 7⁵ + 4 + 5³ + 6⁸ + 4¹⁰ + 0 .

It is a junction number, because it is equal to n+sod(n) for n = 2745599 and 2745608.

It is not an unprimeable number, because it can be changed into a prime (2745643) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2907 + ... + 3733.

It is an arithmetic number, because the mean of its divisors is an integer number (195615).

2^2745640 is an apocalyptic number.

2745640 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 2745640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3129840).

2745640 is an abundant number, since it is smaller than the sum of its proper divisors (3514040).

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

2745640 is a wasteful number, since it uses less digits than its factorization.

2745640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 921 (or 917 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 28.

The square root of 2745640 is about 1656.9972842464. The cubic root of 2745640 is about 140.0278856018.

The spelling of 2745640 in words is "two million, seven hundred forty-five thousand, six hundred forty".