2116217664 has 560 divisors, whose sum is σ = 7567940160. Its totient is φ = 577290240.

The previous prime is 2116217651. The next prime is 2116217671. The reversal of 2116217664 is 4667126112.

2116217664 is a `hidden beast` number, since 21 + 1 + 621 + 7 + 6 + 6 + 4 = 666.

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 79 ways as a sum of consecutive naturals, for example, 35868067 + ... + 35868125.

Almost surely, 2^2116217664 is an apocalyptic number.

2116217664 is a gapful number since it is divisible by the number (24) 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 2116217664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3783970080).

2116217664 is an abundant number, since it is smaller than the sum of its proper divisors (5451722496).

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

2116217664 is a wasteful number, since it uses less digits than its factorization.

2116217664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 129 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 2116217664 is about 46002.3658522037. The cubic root of 2116217664 is about 1283.8672235836.

The spelling of 2116217664 in words is "two billion, one hundred sixteen million, two hundred seventeen thousand, six hundred sixty-four".