2116000000 has 189 divisors, whose sum is σ = 5519128573. Its totient is φ = 809600000.

The previous prime is 2115999989. The next prime is 2116000021. The reversal of 2116000000 is 6112.

The square root of 2116000000 is 46000.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 3 ways, for example, as 1853819136 + 262180864 = 43056^2 + 16192^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 91999989 + ... + 92000011.

Almost surely, 2^2116000000 is an apocalyptic number.

2116000000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2116000000 is the 46000-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2116000000

2116000000 is an abundant number, since it is smaller than the sum of its proper divisors (3403128573).

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

2116000000 is an frugal number, since it uses more digits than its factorization.

2116000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The cubic root of 2116000000 is about 1283.8232045992.

Adding to 2116000000 its reverse (6112), we get a palindrome (2116006112).

The spelling of 2116000000 in words is "two billion, one hundred sixteen million", and thus it is an aban number.