2173735872 has 672 divisors, whose sum is σ = 8716792320. Its totient is φ = 514252800.

The previous prime is 2173735867. The next prime is 2173735877. The reversal of 2173735872 is 2785373712.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2173735867) and next prime (2173735877).

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2173735877) 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, 70120497 + ... + 70120527.

Almost surely, 2^2173735872 is an apocalyptic number.

2173735872 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 2173735872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4358396160).

2173735872 is an abundant number, since it is smaller than the sum of its proper divisors (6543056448).

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

2173735872 is a wasteful number, since it uses less digits than its factorization.

2173735872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 71 counting only the distinct ones).

The product of its digits is 493920, while the sum is 45.

The square root of 2173735872 is about 46623.3404208665. The cubic root of 2173735872 is about 1295.3951223954.

The spelling of 2173735872 in words is "two billion, one hundred seventy-three million, seven hundred thirty-five thousand, eight hundred seventy-two".