2120000019984 has 240 divisors, whose sum is σ = 7398617601024. Its totient is φ = 550533139200.

The previous prime is 2120000019983. The next prime is 2120000020003. The reversal of 2120000019984 is 4899100000212.

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

It is not an unprimeable number, because it can be changed into a prime (2120000019983) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 60778069 + ... + 60812939.

Almost surely, 2^{2120000019984} is an apocalyptic number.

2120000019984 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 2120000019984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3699308800512).

2120000019984 is an abundant number, since it is smaller than the sum of its proper divisors (5278617581040).

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

2120000019984 is a wasteful number, since it uses less digits than its factorization.

2120000019984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40386 (or 40377 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The spelling of 2120000019984 in words is "two trillion, one hundred twenty billion, nineteen thousand, nine hundred eighty-four".