2194006464 has 168 divisors, whose sum is σ = 6956389440. Its totient is φ = 656750592.

The previous prime is 2194006447. The next prime is 2194006469. The reversal of 2194006464 is 4646004912.

2194006464 is a `hidden beast` number, since 2 + 1 + 9 + 4 + 0 + 0 + 646 + 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 not an unprimeable number, because it can be changed into a prime (2194006469) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 273097 + ... + 281015.

It is an arithmetic number, because the mean of its divisors is an integer number (41407080).

Almost surely, 2^2194006464 is an apocalyptic number.

2194006464 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 2194006464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3478194720).

2194006464 is an abundant number, since it is smaller than the sum of its proper divisors (4762382976).

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

2194006464 is a wasteful number, since it uses less digits than its factorization.

2194006464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7987 (or 7974 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 2194006464 is about 46840.2227150982. Note that the first 3 decimals coincide. The cubic root of 2194006464 is about 1299.4092906015.

The spelling of 2194006464 in words is "two billion, one hundred ninety-four million, six thousand, four hundred sixty-four".