2815340 has 48 divisors (see below), whose sum is σ = 6580224. Its totient is φ = 1003200.

The previous prime is 2815331. The next prime is 2815343. The reversal of 2815340 is 435182.

It is a super-2 number, since 2×2815340² = 15852278631200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2815343) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 14645 + ... + 14835.

It is an arithmetic number, because the mean of its divisors is an integer number (137088).

2^2815340 is an apocalyptic number.

2815340 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 2815340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3290112).

2815340 is an abundant number, since it is smaller than the sum of its proper divisors (3764884).

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

2815340 is a wasteful number, since it uses less digits than its factorization.

2815340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 2815340 is about 1677.8974938893. The cubic root of 2815340 is about 141.2029002125.

The spelling of 2815340 in words is "two million, eight hundred fifteen thousand, three hundred forty".