2117738448 has 180 divisors, whose sum is σ = 7012586880. Its totient is φ = 594695808.

The previous prime is 2117738431. The next prime is 2117738473. The reversal of 2117738448 is 8448377112.

2117738448 is a `hidden beast` number, since 2 + 1 + 177 + 38 + 448 = 666.

It is a super-2 number, since 2×2117738448² = 8969632268274897408, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 413761 + ... + 418847.

It is an arithmetic number, because the mean of its divisors is an integer number (38958816).

Almost surely, 2^2117738448 is an apocalyptic number.

2117738448 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 2117738448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3506293440).

2117738448 is an abundant number, since it is smaller than the sum of its proper divisors (4894848432).

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

2117738448 is a wasteful number, since it uses less digits than its factorization.

2117738448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5174 (or 5158 counting only the distinct ones).

The product of its digits is 301056, while the sum is 45.

The square root of 2117738448 is about 46018.8922943610. The cubic root of 2117738448 is about 1284.1746930915.

The spelling of 2117738448 in words is "two billion, one hundred seventeen million, seven hundred thirty-eight thousand, four hundred forty-eight".