2024070720 has 224 divisors, whose sum is σ = 7373721600. Its totient is φ = 460806144.

The previous prime is 2024070701. The next prime is 2024070733. The reversal of 2024070720 is 270704202.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×2024070720² = 8193724559122636800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 2412061 + ... + 2412899.

It is an arithmetic number, because the mean of its divisors is an integer number (32918400).

Almost surely, 2^2024070720 is an apocalyptic number.

2024070720 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 2024070720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3686860800).

2024070720 is an abundant number, since it is smaller than the sum of its proper divisors (5349650880).

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

2024070720 is a wasteful number, since it uses less digits than its factorization.

2024070720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1225 (or 1215 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 24.

The square root of 2024070720 is about 44989.6734818114. The cubic root of 2024070720 is about 1264.9554411547.

Adding to 2024070720 its reverse (270704202), we get a palindrome (2294774922).

The spelling of 2024070720 in words is "two billion, twenty-four million, seventy thousand, seven hundred twenty".