2215440 has 120 divisors (see below), whose sum is σ = 7921368. Its totient is φ = 552960.

The previous prime is 2215417. The next prime is 2215463. The reversal of 2215440 is 445122.

2215440 is a `hidden beast` number, since 221 + 5 + 440 = 666.

It is an interprime number because it is at equal distance from previous prime (2215417) and next prime (2215463).

It can be written as a sum of positive squares in 4 ways, for example, as 36864 + 2178576 = 192^2 + 1476^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12150 + ... + 12330.

2^2215440 is an apocalyptic number.

2215440 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 2215440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3960684).

2215440 is an abundant number, since it is smaller than the sum of its proper divisors (5705928).

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

2215440 is a wasteful number, since it uses less digits than its factorization.

2215440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 2215440 is about 1488.4354201644. The cubic root of 2215440 is about 130.3626952393.

The spelling of 2215440 in words is "two million, two hundred fifteen thousand, four hundred forty".