2024061984 has 288 divisors, whose sum is σ = 6792065280. Its totient is φ = 559872000.

The previous prime is 2024061979. The next prime is 2024062037. The reversal of 2024061984 is 4891604202.

It is a tau number, because it is divible by the number of its divisors (288).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13404309 + ... + 13404459.

It is an arithmetic number, because the mean of its divisors is an integer number (23583560).

Almost surely, 2^2024061984 is an apocalyptic number.

2024061984 is a gapful number since it is divisible by the number (24) 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 2024061984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3396032640).

2024061984 is an abundant number, since it is smaller than the sum of its proper divisors (4768003296).

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

2024061984 is a wasteful number, since it uses less digits than its factorization.

2024061984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 2024061984 is about 44989.5763927601. The cubic root of 2024061984 is about 1264.9536212797.

It can be divided in two parts, 20240619 and 84, that added together give a triangular number (20240703 = T₆₃₆₂).

The spelling of 2024061984 in words is "two billion, twenty-four million, sixty-one thousand, nine hundred eighty-four".