2000121984 has 480 divisors, whose sum is σ = 7203778560. Its totient is φ = 548674560.

The previous prime is 2000121979. The next prime is 2000122037. The reversal of 2000121984 is 4891210002.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 15748929 + ... + 15749055.

It is an arithmetic number, because the mean of its divisors is an integer number (15007872).

Almost surely, 2^2000121984 is an apocalyptic number.

2000121984 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 2000121984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3601889280).

2000121984 is an abundant number, since it is smaller than the sum of its proper divisors (5203656576).

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

2000121984 is a wasteful number, since it uses less digits than its factorization.

2000121984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 2000121984 is about 44722.7233517817. The cubic root of 2000121984 is about 1259.9466644090.

Adding to 2000121984 its reverse (4891210002), we get a palindrome (6891331986).

The spelling of 2000121984 in words is "two billion, one hundred twenty-one thousand, nine hundred eighty-four".