2171628864 has 336 divisors, whose sum is σ = 6986503680. Its totient is φ = 641986560.

The previous prime is 2171628863. The next prime is 2171628887. The reversal of 2171628864 is 4688261712.

2171628864 is a `hidden beast` number, since 2 + 17 + 1 + 628 + 8 + 6 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2171628863) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 12552682 + ... + 12552854.

Almost surely, 2^2171628864 is an apocalyptic number.

2171628864 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 2171628864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3493251840).

2171628864 is an abundant number, since it is smaller than the sum of its proper divisors (4814874816).

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

2171628864 is a wasteful number, since it uses less digits than its factorization.

2171628864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 265 counting only the distinct ones).

The product of its digits is 258048, while the sum is 45.

The square root of 2171628864 is about 46600.7388782624. The cubic root of 2171628864 is about 1294.9764437708.

The spelling of 2171628864 in words is "two billion, one hundred seventy-one million, six hundred twenty-eight thousand, eight hundred sixty-four".