2835040 has 96 divisors (see below), whose sum is σ = 7620480. Its totient is φ = 989184.

The previous prime is 2835037. The next prime is 2835061. The reversal of 2835040 is 405382.

2835040 = 176² + 177² + ... + 240².

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60297 + ... + 60343.

It is an arithmetic number, because the mean of its divisors is an integer number (79380).

2^2835040 is an apocalyptic number.

2835040 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 2835040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3810240).

2835040 is an abundant number, since it is smaller than the sum of its proper divisors (4785440).

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

2835040 is a wasteful number, since it uses less digits than its factorization.

2835040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 2835040 is about 1683.7577022838. The cubic root of 2835040 is about 141.5314850422.

The spelling of 2835040 in words is "two million, eight hundred thirty-five thousand, forty".