2682240 has 128 divisors (see below), whose sum is σ = 9400320. Its totient is φ = 645120.

The previous prime is 2682227. The next prime is 2682247. The reversal of 2682240 is 422862.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×2682240² = 14388822835200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a d-powerful number, because it can be written as 2¹¹ + 6⁷ + 8⁵ + 2¹³ + 2²¹ + 4⁹ + 0 .

It is a self number, because there is not a number n which added to its sum of digits gives 2682240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2682247) 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, 21057 + ... + 21183.

It is an arithmetic number, because the mean of its divisors is an integer number (73440).

2^2682240 is an apocalyptic number.

2682240 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 2682240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4700160).

2682240 is an abundant number, since it is smaller than the sum of its proper divisors (6718080).

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

2682240 is a wasteful number, since it uses less digits than its factorization.

2682240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 2682240 is about 1637.7545603661. The cubic root of 2682240 is about 138.9416797246.

It can be divided in two parts, 26822 and 40, that added together give a palindrome (26862).

The spelling of 2682240 in words is "two million, six hundred eighty-two thousand, two hundred forty".