2415440 has 40 divisors (see below), whose sum is σ = 5687880. Its totient is φ = 953856.

The previous prime is 2415431. The next prime is 2415443. The reversal of 2415440 is 445142.

2415440 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 141376 + 2274064 = 376^2 + 1508^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2415443) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8582 + ... + 8858.

It is an arithmetic number, because the mean of its divisors is an integer number (142197).

2^2415440 is an apocalyptic number.

2415440 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 2415440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2843940).

2415440 is an abundant number, since it is smaller than the sum of its proper divisors (3272440).

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

2415440 is a wasteful number, since it uses less digits than its factorization.

2415440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 399 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

The square root of 2415440 is about 1554.1685880238. The cubic root of 2415440 is about 134.1730888652.

The spelling of 2415440 in words is "two million, four hundred fifteen thousand, four hundred forty".