2853840 has 160 divisors (see below), whose sum is σ = 10285056. Its totient is φ = 647680.

The previous prime is 2853833. The next prime is 2853853. The reversal of 2853840 is 483582.

2853840 = T₃₂₉ + T₃₃₀ + ... + T₃₇₄.

2853840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2853798 and 2853807.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 60697 + ... + 60743.

2^2853840 is an apocalyptic number.

2853840 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 2853840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5142528).

2853840 is an abundant number, since it is smaller than the sum of its proper divisors (7431216).

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

2853840 is a wasteful number, since it uses less digits than its factorization.

2853840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 2853840 is about 1689.3312286227. The cubic root of 2853840 is about 141.8436419534.

The spelling of 2853840 in words is "two million, eight hundred fifty-three thousand, eight hundred forty".