2785040 has 40 divisors (see below), whose sum is σ = 6690048. Its totient is φ = 1077120.

The previous prime is 2785037. The next prime is 2785043. The reversal of 2785040 is 405872.

2785040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2785037) and next prime (2785043).

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (2785043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1919 + ... + 3041.

2^2785040 is an apocalyptic number.

2785040 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 2785040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3345024).

2785040 is an abundant number, since it is smaller than the sum of its proper divisors (3905008).

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

2785040 is a wasteful number, since it uses less digits than its factorization.

2785040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1167 (or 1161 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 26.

The square root of 2785040 is about 1668.8439112152. The cubic root of 2785040 is about 140.6945081892.

The spelling of 2785040 in words is "two million, seven hundred eighty-five thousand, forty".