2024190080 has 256 divisors, whose sum is σ = 5720976000. Its totient is φ = 676823040.

The previous prime is 2024190067. The next prime is 2024190097. The reversal of 2024190080 is 800914202.

It is a Cunningham number, because it is equal to 44991²-1.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4948916 + ... + 4949324.

Almost surely, 2^2024190080 is an apocalyptic number.

2024190080 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 2024190080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2860488000).

2024190080 is an abundant number, since it is smaller than the sum of its proper divisors (3696785920).

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

2024190080 is a wasteful number, since it uses less digits than its factorization.

2024190080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 495 (or 483 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

The square root of 2024190080 is about 44990.9999888867. Note that the first 4 decimals coincide. The cubic root of 2024190080 is about 1264.9803055879.

The spelling of 2024190080 in words is "two billion, twenty-four million, one hundred ninety thousand, eighty".