2174071680 has 192 divisors, whose sum is σ = 8190065520. Its totient is φ = 527032320.

The previous prime is 2174071661. The next prime is 2174071687. The reversal of 2174071680 is 861704712.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2174071687) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46204 + ... + 80516.

Almost surely, 2^2174071680 is an apocalyptic number.

2174071680 is a gapful number since it is divisible by the number (20) 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 2174071680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4095032760).

2174071680 is an abundant number, since it is smaller than the sum of its proper divisors (6015993840).

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

2174071680 is a wasteful number, since it uses less digits than its factorization.

2174071680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34349 (or 34334 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 2174071680 is about 46626.9415681535. The cubic root of 2174071680 is about 1295.4618250174.

The spelling of 2174071680 in words is "two billion, one hundred seventy-four million, seventy-one thousand, six hundred eighty".