2735820 has 36 divisors (see below), whose sum is σ = 8299200. Its totient is φ = 729504.

The previous prime is 2735809. The next prime is 2735839. The reversal of 2735820 is 285372.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×2735820² = 14969422144800, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7420 + ... + 7779.

2^2735820 is an apocalyptic number.

2735820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2735820 is an abundant number, since it is smaller than the sum of its proper divisors (5563380).

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

2735820 is a wasteful number, since it uses less digits than its factorization.

2735820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15214 (or 15209 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 2735820 is about 1654.0314386371. The cubic root of 2735820 is about 139.8607458875.

The spelling of 2735820 in words is "two million, seven hundred thirty-five thousand, eight hundred twenty".