2116817472 has 224 divisors, whose sum is σ = 7042489344. Its totient is φ = 545126400.

The previous prime is 2116817453. The next prime is 2116817513. The reversal of 2116817472 is 2747186112.

It is a tau number, because it is divible by the number of its divisors (224).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 2116817472.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1936158 + ... + 1937250.

Almost surely, 2^2116817472 is an apocalyptic number.

2116817472 is a gapful number since it is divisible by the number (22) 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 2116817472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3521244672).

2116817472 is an abundant number, since it is smaller than the sum of its proper divisors (4925671872).

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

2116817472 is a wasteful number, since it uses less digits than its factorization.

2116817472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1257 (or 1247 counting only the distinct ones).

The product of its digits is 37632, while the sum is 39.

The square root of 2116817472 is about 46008.8847071954. The cubic root of 2116817472 is about 1283.9885093255.

The spelling of 2116817472 in words is "two billion, one hundred sixteen million, eight hundred seventeen thousand, four hundred seventy-two".