2024166480 has 320 divisors, whose sum is σ = 7447142400. Its totient is φ = 454519296.

The previous prime is 2024166467. The next prime is 2024166481. The reversal of 2024166480 is 846614202.

It is a super-3 number, since 3×2024166480³ (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2024166481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5515257 + ... + 5515623.

It is an arithmetic number, because the mean of its divisors is an integer number (23272320).

Almost surely, 2^2024166480 is an apocalyptic number.

2024166480 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 2024166480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3723571200).

2024166480 is an abundant number, since it is smaller than the sum of its proper divisors (5422975920).

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

2024166480 is a wasteful number, since it uses less digits than its factorization.

2024166480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471 (or 451 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 2024166480 is about 44990.7377134450. The cubic root of 2024166480 is about 1264.9753894403.

The spelling of 2024166480 in words is "two billion, twenty-four million, one hundred sixty-six thousand, four hundred eighty".