2419891344 has 120 divisors (see below), whose sum is σ = 7386055040. Its totient is φ = 735111936.

The previous prime is 2419891339. The next prime is 2419891429. The reversal of 2419891344 is 4431989142.

It is a super-2 number, since 2×2419891344² = 11711748233532252672, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2419891344.

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, 139707 + ... + 156069.

Almost surely, 2^2419891344 is an apocalyptic number.

2419891344 is a gapful number since it is divisible by the number (24) 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 2419891344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3693027520).

2419891344 is an abundant number, since it is smaller than the sum of its proper divisors (4966163696).

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

2419891344 is a wasteful number, since it uses less digits than its factorization.

2419891344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16469 (or 16460 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 2419891344 is about 49192.3911189525. The cubic root of 2419891344 is about 1342.5545951186.

The spelling of 2419891344 in words is "two billion, four hundred nineteen million, eight hundred ninety-one thousand, three hundred forty-four".