2419488 has 72 divisors (see below), whose sum is σ = 7128576. Its totient is φ = 777600.

The previous prime is 2419463. The next prime is 2419489. The reversal of 2419488 is 8849142.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (2419489) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8793 + ... + 9063.

It is an arithmetic number, because the mean of its divisors is an integer number (99008).

2^2419488 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2419488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3564288).

2419488 is an abundant number, since it is smaller than the sum of its proper divisors (4709088).

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

2419488 is a wasteful number, since it uses less digits than its factorization.

2419488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 307 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 2419488 is about 1555.4703468726. The cubic root of 2419488 is about 134.2479999286.

The spelling of 2419488 in words is "two million, four hundred nineteen thousand, four hundred eighty-eight".