2116627920 has 480 divisors, whose sum is σ = 8256328704. Its totient is φ = 481075200.

The previous prime is 2116627907. The next prime is 2116627963. The reversal of 2116627920 is 297266112.

2116627920 is a `hidden beast` number, since 2 + 1 + 1 + 6 + 627 + 9 + 20 = 666.

2116627920 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2116627920² = 8960227503447052800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9084124 + ... + 9084356.

Almost surely, 2^2116627920 is an apocalyptic number.

2116627920 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 2116627920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4128164352).

2116627920 is an abundant number, since it is smaller than the sum of its proper divisors (6139700784).

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

2116627920 is a wasteful number, since it uses less digits than its factorization.

2116627920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 2116627920 is about 46006.8247111230. The cubic root of 2116627920 is about 1283.9501829451.

It can be divided in two parts, 2116 and 627920, that added together give a palindrome (630036).

The spelling of 2116627920 in words is "two billion, one hundred sixteen million, six hundred twenty-seven thousand, nine hundred twenty".