2164828680 has 192 divisors, whose sum is σ = 8338861440. Its totient is φ = 494802432.

The previous prime is 2164828663. The next prime is 2164828681. The reversal of 2164828680 is 868284612.

2164828680 is a `hidden beast` number, since 2 + 16 + 482 + 86 + 80 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (2164828681) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 52132 + ... + 83948.

It is an arithmetic number, because the mean of its divisors is an integer number (43431570).

Almost surely, 2^2164828680 is an apocalyptic number.

2164828680 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 2164828680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4169430720).

2164828680 is an abundant number, since it is smaller than the sum of its proper divisors (6174032760).

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

2164828680 is a wasteful number, since it uses less digits than its factorization.

2164828680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31850 (or 31834 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The square root of 2164828680 is about 46527.7194798971. The cubic root of 2164828680 is about 1293.6233448790.

The spelling of 2164828680 in words is "two billion, one hundred sixty-four million, eight hundred twenty-eight thousand, six hundred eighty".