2171506512 has 80 divisors (see below), whose sum is σ = 6419589120. Its totient is φ = 619610496.

The previous prime is 2171506501. The next prime is 2171506537. The reversal of 2171506512 is 2156051712.

It is a super-2 number, since 2×2171506512² = 9430881063316812288, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2171506512.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 278053 + ... + 285755.

It is an arithmetic number, because the mean of its divisors is an integer number (80244864).

Almost surely, 2^2171506512 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 2171506512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3209794560).

2171506512 is an abundant number, since it is smaller than the sum of its proper divisors (4248082608).

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

2171506512 is a wasteful number, since it uses less digits than its factorization.

2171506512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8560 (or 8554 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 30.

The square root of 2171506512 is about 46599.4260908866. The cubic root of 2171506512 is about 1294.9521231735.

The spelling of 2171506512 in words is "two billion, one hundred seventy-one million, five hundred six thousand, five hundred twelve".