2117767680 has 400 divisors, whose sum is σ = 8674712640. Its totient is φ = 483729408.

The previous prime is 2117767661. The next prime is 2117767739. The reversal of 2117767680 is 867677112.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1450791 + ... + 1452249.

Almost surely, 2^2117767680 is an apocalyptic number.

2117767680 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 2117767680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4337356320).

2117767680 is an abundant number, since it is smaller than the sum of its proper divisors (6556944960).

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

2117767680 is an equidigital number, since it uses as much as digits as its factorization.

2117767680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1501 (or 1476 counting only the distinct ones).

The product of its (nonzero) digits is 197568, while the sum is 45.

The square root of 2117767680 is about 46019.2099019529. The cubic root of 2117767680 is about 1284.1806017252.

The spelling of 2117767680 in words is "two billion, one hundred seventeen million, seven hundred sixty-seven thousand, six hundred eighty".