2117864448 has 352 divisors, whose sum is σ = 7420293120. Its totient is φ = 583925760.

The previous prime is 2117864407. The next prime is 2117864453. The reversal of 2117864448 is 8444687112.

It is a nude number because it is divisible by every one of its digits.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5999440 + ... + 5999792.

Almost surely, 2^2117864448 is an apocalyptic number.

2117864448 is a gapful number since it is divisible by the number (28) 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 2117864448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3710146560).

2117864448 is an abundant number, since it is smaller than the sum of its proper divisors (5302428672).

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

2117864448 is a wasteful number, since it uses less digits than its factorization.

2117864448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420 (or 396 counting only the distinct ones).

The product of its digits is 344064, while the sum is 45.

The square root of 2117864448 is about 46020.2612769637. The cubic root of 2117864448 is about 1284.2001609521.

The spelling of 2117864448 in words is "two billion, one hundred seventeen million, eight hundred sixty-four thousand, four hundred forty-eight".