2024859648 has 288 divisors, whose sum is σ = 6521860800. Its totient is φ = 547160064.

The previous prime is 2024859631. The next prime is 2024859649. The reversal of 2024859648 is 8469584202.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 2024859597 and 2024859606.

It is not an unprimeable number, because it can be changed into a prime (2024859649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22751188 + ... + 22751276.

It is an arithmetic number, because the mean of its divisors is an integer number (22645350).

Almost surely, 2^2024859648 is an apocalyptic number.

2024859648 is a gapful number since it is divisible by the number (28) 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 2024859648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3260930400).

2024859648 is an abundant number, since it is smaller than the sum of its proper divisors (4497001152).

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

2024859648 is an equidigital number, since it uses as much as digits as its factorization.

2024859648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 48.

The square root of 2024859648 is about 44998.4405063109. The cubic root of 2024859648 is about 1265.1197682745.

The spelling of 2024859648 in words is "two billion, twenty-four million, eight hundred fifty-nine thousand, six hundred forty-eight".