2147634216 has 256 divisors, whose sum is σ = 7543334400. Its totient is φ = 550914048.

The previous prime is 2147634173. The next prime is 2147634227. The reversal of 2147634216 is 6124367412.

2147634216 is a `hidden beast` number, since 2 + 1 + 4 + 7 + 634 + 2 + 16 = 666.

It is a super-2 number, since 2×2147634216² = 9224665451467869312, which contains 22 as substring.

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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 725796 + ... + 728748.

It is an arithmetic number, because the mean of its divisors is an integer number (29466150).

Almost surely, 2^2147634216 is an apocalyptic number.

2147634216 is a gapful number since it is divisible by the number (26) 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 2147634216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3771667200).

2147634216 is an abundant number, since it is smaller than the sum of its proper divisors (5395700184).

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

2147634216 is a wasteful number, since it uses less digits than its factorization.

2147634216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3025 (or 3015 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 2147634216 is about 46342.5745508382. The cubic root of 2147634216 is about 1290.1893069935.

The spelling of 2147634216 in words is "two billion, one hundred forty-seven million, six hundred thirty-four thousand, two hundred sixteen".