2016900000 has 432 divisors, whose sum is σ = 7524080928. Its totient is φ = 531360000.

The previous prime is 2016899977. The next prime is 2016900071. The reversal of 2016900000 is 96102.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×2016900000² = 8135771220000000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 24299959 + ... + 24300041.

It is an arithmetic number, because the mean of its divisors is an integer number (17416854).

Almost surely, 2^2016900000 is an apocalyptic number.

2016900000 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 2016900000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3762040464).

2016900000 is an abundant number, since it is smaller than the sum of its proper divisors (5507180928).

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

2016900000 is an frugal number, since it uses more digits than its factorization.

2016900000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 2016900000 is about 44909.9098195487. The cubic root of 2016900000 is about 1263.4598784568.

Adding to 2016900000 its reverse (96102), we get a palindrome (2016996102).

The spelling of 2016900000 in words is "two billion, sixteen million, nine hundred thousand".