2194456680 has 768 divisors, whose sum is σ = 8963136000. Its totient is φ = 459841536.

The previous prime is 2194456669. The next prime is 2194456727. The reversal of 2194456680 is 866544912.

2194456680 is a `hidden beast` number, since 2 + 1 + 9 + 4 + 4 + 566 + 80 = 666.

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 (11) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 59309622 + ... + 59309658.

It is an arithmetic number, because the mean of its divisors is an integer number (11670750).

Almost surely, 2^2194456680 is an apocalyptic number.

2194456680 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 2194456680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4481568000).

2194456680 is an abundant number, since it is smaller than the sum of its proper divisors (6768679320).

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

2194456680 is a wasteful number, since it uses less digits than its factorization.

2194456680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 2194456680 is about 46845.0283381278. The cubic root of 2194456680 is about 1299.4981652777.

The spelling of 2194456680 in words is "two billion, one hundred ninety-four million, four hundred fifty-six thousand, six hundred eighty".