2147668992 has 352 divisors, whose sum is σ = 7412432640. Its totient is φ = 609140736.

The previous prime is 2147668969. The next prime is 2147668993. The reversal of 2147668992 is 2998667412.

2147668992 is a `hidden beast` number, since 2 + 1 + 476 + 6 + 89 + 92 = 666.

It is a super-2 number, since 2×2147668992² = 9224964198396592128, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2147668993) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15676348 + ... + 15676484.

It is a vampire number, since it can be written as 22194 ⋅ 96768 (with its own digits).

Almost surely, 2^2147668992 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2147668992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3706216320).

2147668992 is an abundant number, since it is smaller than the sum of its proper divisors (5264763648).

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

2147668992 is an frugal number, since it uses more digits than its factorization.

2147668992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 149 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 54.

The square root of 2147668992 is about 46342.9497550598. The cubic root of 2147668992 is about 1290.1962708394.

The spelling of 2147668992 in words is "two billion, one hundred forty-seven million, six hundred sixty-eight thousand, nine hundred ninety-two".