2120030016 has 168 divisors, whose sum is σ = 6419148960. Its totient is φ = 613736448.

The previous prime is 2120029981. The next prime is 2120030023. The reversal of 2120030016 is 6100300212.

It is a junction number, because it is equal to n+sod(n) for n = 2120029977 and 2120030004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 719875 + ... + 722813.

It is an arithmetic number, because the mean of its divisors is an integer number (38209220).

Almost surely, 2^2120030016 is an apocalyptic number.

2120030016 is a gapful number since it is divisible by the number (26) 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 2120030016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3209574480).

2120030016 is an abundant number, since it is smaller than the sum of its proper divisors (4299118944).

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

2120030016 is a wasteful number, since it uses less digits than its factorization.

2120030016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3001 (or 2974 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 2120030016 is about 46043.7836846626. The cubic root of 2120030016 is about 1284.6377204989.

Adding to 2120030016 its reverse (6100300212), we get a palindrome (8220330228).

The spelling of 2120030016 in words is "two billion, one hundred twenty million, thirty thousand, sixteen".