2170631120 has 80 divisors (see below), whose sum is σ = 5777630208. Its totient is φ = 742932480.

The previous prime is 2170631119. The next prime is 2170631171. The reversal of 2170631120 is 211360712.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×2170631120² = 9423278918224908800, which contains 22 as substring.

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, 355937 + ... + 361983.

Almost surely, 2^2170631120 is an apocalyptic number.

2170631120 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 2170631120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2888815104).

2170631120 is an abundant number, since it is smaller than the sum of its proper divisors (3606999088).

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

2170631120 is a wasteful number, since it uses less digits than its factorization.

2170631120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6708 (or 6702 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 23.

The square root of 2170631120 is about 46590.0324103772. The cubic root of 2170631120 is about 1294.7780899107.

Adding to 2170631120 its reverse (211360712), we get a palindrome (2381991832).

The spelling of 2170631120 in words is "two billion, one hundred seventy million, six hundred thirty-one thousand, one hundred twenty".