2815420 has 48 divisors (see below), whose sum is σ = 6451200. Its totient is φ = 1028160.

The previous prime is 2815411. The next prime is 2815427. The reversal of 2815420 is 245182.

It is a junction number, because it is equal to n+sod(n) for n = 2815391 and 2815400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2815427) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11661 + ... + 11899.

It is an arithmetic number, because the mean of its divisors is an integer number (134400).

2^2815420 is an apocalyptic number.

2815420 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 2815420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3225600).

2815420 is an abundant number, since it is smaller than the sum of its proper divisors (3635780).

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

2815420 is a wasteful number, since it uses less digits than its factorization.

2815420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 22.

The square root of 2815420 is about 1677.9213330785. The cubic root of 2815420 is about 141.2042376620.

The spelling of 2815420 in words is "two million, eight hundred fifteen thousand, four hundred twenty".