2164603680 has 144 divisors (see below), whose sum is σ = 7430262840. Its totient is φ = 573825024.

The previous prime is 2164603667. The next prime is 2164603681. The reversal of 2164603680 is 863064612.

2164603680 is a `hidden beast` number, since 2 + 1 + 646 + 0 + 3 + 6 + 8 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2164482576 + 121104 = 46524^2 + 348^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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

It is not an unprimeable number, because it can be changed into a prime (2164603681) 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, 244776 + ... + 253464.

Almost surely, 2^2164603680 is an apocalyptic number.

2164603680 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 2164603680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3715131420).

2164603680 is an abundant number, since it is smaller than the sum of its proper divisors (5265659160).

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

2164603680 is a wasteful number, since it uses less digits than its factorization.

2164603680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8883 (or 8872 counting only the distinct ones).

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

The square root of 2164603680 is about 46525.3015035905. The cubic root of 2164603680 is about 1293.5785260381.

The spelling of 2164603680 in words is "two billion, one hundred sixty-four million, six hundred three thousand, six hundred eighty".