2116180290 has 128 divisors (see below), whose sum is σ = 6225776640. Its totient is φ = 449549568.

The previous prime is 2116180279. The next prime is 2116180301. The reversal of 2116180290 is 920816112.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2116180279) and next prime (2116180301).

It is a super-4 number, since 4×2116180290⁴ (a number of 38 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 206467 + ... + 216473.

It is an arithmetic number, because the mean of its divisors is an integer number (48638880).

Almost surely, 2^2116180290 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2116180290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3112888320).

2116180290 is an abundant number, since it is smaller than the sum of its proper divisors (4109596350).

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

2116180290 is a wasteful number, since it uses less digits than its factorization.

2116180290 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10096.

The product of its (nonzero) digits is 1728, while the sum is 30.

The square root of 2116180290 is about 46001.9596321722. The cubic root of 2116180290 is about 1283.8596655179.

The spelling of 2116180290 in words is "two billion, one hundred sixteen million, one hundred eighty thousand, two hundred ninety".