2415840 has 96 divisors (see below), whose sum is σ = 8709120. Its totient is φ = 551424.

The previous prime is 2415839. The next prime is 2415859. The reversal of 2415840 is 485142.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a plaindrome in base 13.

It is a zygodrome in base 13.

It is a self number, because there is not a number n which added to its sum of digits gives 2415840.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3001 + ... + 3719.

It is an arithmetic number, because the mean of its divisors is an integer number (90720).

2^2415840 is an apocalyptic number.

2415840 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 2415840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4354560).

2415840 is an abundant number, since it is smaller than the sum of its proper divisors (6293280).

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

2415840 is a wasteful number, since it uses less digits than its factorization.

2415840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 744 (or 736 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

The square root of 2415840 is about 1554.2972688646. The cubic root of 2415840 is about 134.1804948690.

The spelling of 2415840 in words is "two million, four hundred fifteen thousand, eight hundred forty".