2935840 has 48 divisors (see below), whose sum is σ = 7076160. Its totient is φ = 1150720.

The previous prime is 2935837. The next prime is 2935871. The reversal of 2935840 is 485392.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9285 + ... + 9595.

It is an arithmetic number, because the mean of its divisors is an integer number (147420).

2^2935840 is an apocalyptic number.

2935840 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 2935840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3538080).

2935840 is an abundant number, since it is smaller than the sum of its proper divisors (4140320).

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

2935840 is a wasteful number, since it uses less digits than its factorization.

2935840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 385 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

The square root of 2935840 is about 1713.4293098929. The cubic root of 2935840 is about 143.1893753236.

The spelling of 2935840 in words is "two million, nine hundred thirty-five thousand, eight hundred forty".