2419840 has 64 divisors (see below), whose sum is σ = 6120000. Its totient is φ = 912384.

The previous prime is 2419819. The next prime is 2419867. The reversal of 2419840 is 489142.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 2419799 and 2419808.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12061 + ... + 12259.

It is an arithmetic number, because the mean of its divisors is an integer number (95625).

2^2419840 is an apocalyptic number.

2419840 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 2419840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3060000).

2419840 is an abundant number, since it is smaller than the sum of its proper divisors (3700160).

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

2419840 is a wasteful number, since it uses less digits than its factorization.

2419840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 2419840 is about 1555.5834918126. The cubic root of 2419840 is about 134.2545099842.

The spelling of 2419840 in words is "two million, four hundred nineteen thousand, eight hundred forty".