2024831480 has 128 divisors (see below), whose sum is σ = 5313530880. Its totient is φ = 680140800.

The previous prime is 2024831467. The next prime is 2024831507. The reversal of 2024831480 is 841384202.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3508952 + ... + 3509528.

It is an arithmetic number, because the mean of its divisors is an integer number (41511960).

Almost surely, 2^2024831480 is an apocalyptic number.

2024831480 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 2024831480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2656765440).

2024831480 is an abundant number, since it is smaller than the sum of its proper divisors (3288699400).

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

2024831480 is a wasteful number, since it uses less digits than its factorization.

2024831480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 829 (or 825 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 32.

The square root of 2024831480 is about 44998.1275165978. The cubic root of 2024831480 is about 1265.1139018500.

The spelling of 2024831480 in words is "two billion, twenty-four million, eight hundred thirty-one thousand, four hundred eighty".