2785420 has 36 divisors (see below), whose sum is σ = 6435072. Its totient is φ = 1012000.

The previous prime is 2785379. The next prime is 2785423. The reversal of 2785420 is 245872.

It is a d-powerful number, because it can be written as 2⁵ + 7⁷ + 8³ + 5⁹ + 4² + 2¹³ + 0 .

It is not an unprimeable number, because it can be changed into a prime (2785423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1845 + ... + 2995.

It is an arithmetic number, because the mean of its divisors is an integer number (178752).

2^2785420 is an apocalyptic number.

2785420 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 2785420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3217536).

2785420 is an abundant number, since it is smaller than the sum of its proper divisors (3649652).

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

2785420 is a wasteful number, since it uses less digits than its factorization.

2785420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1182 (or 1169 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 28.

The square root of 2785420 is about 1668.9577586027. The cubic root of 2785420 is about 140.7009068384.

The spelling of 2785420 in words is "two million, seven hundred eighty-five thousand, four hundred twenty".