2174913216 has 252 divisors, whose sum is σ = 7304208912. Its totient is φ = 616928256.

The previous prime is 2174913193. The next prime is 2174913239. The reversal of 2174913216 is 6123194712.

It is an interprime number because it is at equal distance from previous prime (2174913193) and next prime (2174913239).

It is a tau number, because it is divible by the number of its divisors (252).

It is a super-3 number, since 3×2174913216³ (a number of 29 digits) contains 333 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 polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7422766 + ... + 7423058.

It is an arithmetic number, because the mean of its divisors is an integer number (28984956).

Almost surely, 2^2174913216 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 2174913216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3652104456).

2174913216 is an abundant number, since it is smaller than the sum of its proper divisors (5129295696).

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

2174913216 is a wasteful number, since it uses less digits than its factorization.

2174913216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 588 (or 568 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 2174913216 is about 46635.9648340205. The cubic root of 2174913216 is about 1295.6289518485.

The spelling of 2174913216 in words is "two billion, one hundred seventy-four million, nine hundred thirteen thousand, two hundred sixteen".