2835140 has 72 divisors (see below), whose sum is σ = 7584192. Its totient is φ = 880320.

The previous prime is 2835139. The next prime is 2835149. The reversal of 2835140 is 415382.

It is not an unprimeable number, because it can be changed into a prime (2835149) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10649 + ... + 10911.

It is an arithmetic number, because the mean of its divisors is an integer number (105336).

2^2835140 is an apocalyptic number.

2835140 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 2835140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3792096).

2835140 is an abundant number, since it is smaller than the sum of its proper divisors (4749052).

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

2835140 is a wasteful number, since it uses less digits than its factorization.

2835140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 2835140 is about 1683.7873975060. The cubic root of 2835140 is about 141.5331490966.

It can be divided in two parts, 2835 and 140, that multiplied together give a square (396900 = 630²).

The spelling of 2835140 in words is "two million, eight hundred thirty-five thousand, one hundred forty".