2117741472 has 576 divisors, whose sum is σ = 8066822400. Its totient is φ = 510935040.

The previous prime is 2117741447. The next prime is 2117741473. The reversal of 2117741472 is 2741477112.

It is a happy number.

2117741472 is a `hidden beast` number, since 2 + 1 + 177 + 414 + 72 = 666.

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

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

It is not an unprimeable number, because it can be changed into a prime (2117741473) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23794804 + ... + 23794892.

It is an arithmetic number, because the mean of its divisors is an integer number (14004900).

Almost surely, 2^2117741472 is an apocalyptic number.

2117741472 is a gapful number since it is divisible by the number (22) 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 2117741472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4033411200).

2117741472 is an abundant number, since it is smaller than the sum of its proper divisors (5949080928).

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

2117741472 is a wasteful number, since it uses less digits than its factorization.

2117741472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 178 counting only the distinct ones).

The product of its digits is 21952, while the sum is 36.

The square root of 2117741472 is about 46018.9251504205. The cubic root of 2117741472 is about 1284.1753043320.

The spelling of 2117741472 in words is "two billion, one hundred seventeen million, seven hundred forty-one thousand, four hundred seventy-two".