2849040 has 80 divisors (see below), whose sum is σ = 9820800. Its totient is φ = 759168.

The previous prime is 2849009. The next prime is 2849053. The reversal of 2849040 is 409482.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 2848995 and 2849013.

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, 1501 + ... + 2819.

It is an arithmetic number, because the mean of its divisors is an integer number (122760).

2^2849040 is an apocalyptic number.

2849040 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 2849040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4910400).

2849040 is an abundant number, since it is smaller than the sum of its proper divisors (6971760).

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

2849040 is a wasteful number, since it uses less digits than its factorization.

2849040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1341 (or 1329 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 2849040 is about 1687.9099502047. The cubic root of 2849040 is about 141.7640729568.

The spelling of 2849040 in words is "two million, eight hundred forty-nine thousand, forty".