2170770712 has 64 divisors (see below), whose sum is σ = 4510598400. Its totient is φ = 971168640.

The previous prime is 2170770697. The next prime is 2170770713.

2170770712 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2170770713) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3206118 + ... + 3206794.

It is an arithmetic number, because the mean of its divisors is an integer number (70478100).

Almost surely, 2^2170770712 is an apocalyptic number.

2170770712 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 2170770712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2255299200).

2170770712 is an abundant number, since it is smaller than the sum of its proper divisors (2339827688).

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

2170770712 is a wasteful number, since it uses less digits than its factorization.

2170770712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1216 (or 1212 counting only the distinct ones).

The product of its (nonzero) digits is 9604, while the sum is 34.

The square root of 2170770712 is about 46591.5304749694. The cubic root of 2170770712 is about 1294.8058447861.

The spelling of 2170770712 in words is "two billion, one hundred seventy million, seven hundred seventy thousand, seven hundred twelve".