2024529864 has 96 divisors (see below), whose sum is σ = 6234058080. Its totient is φ = 544406016.

The previous prime is 2024529863. The next prime is 2024529869. The reversal of 2024529864 is 4689254202.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (2024529863) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30642 + ... + 70625.

It is an arithmetic number, because the mean of its divisors is an integer number (64938105).

Almost surely, 2^2024529864 is an apocalyptic number.

2024529864 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2024529864 is an abundant number, since it is smaller than the sum of its proper divisors (4209528216).

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

2024529864 is a wasteful number, since it uses less digits than its factorization.

2024529864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101307 (or 101296 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 42.

The square root of 2024529864 is about 44994.7759634382. The cubic root of 2024529864 is about 1265.0510822118.

The spelling of 2024529864 in words is "two billion, twenty-four million, five hundred twenty-nine thousand, eight hundred sixty-four".