2106190656 has 168 divisors, whose sum is σ = 6613443720. Its totient is φ = 637894656.

The previous prime is 2106190651. The next prime is 2106190693. The reversal of 2106190656 is 6560916012.

2106190656 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 921729600 + 1184461056 = 30360^2 + 34416^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 2106190656.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2106190651) 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, 280260 + ... + 287676.

Almost surely, 2^2106190656 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 2106190656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3306721860).

2106190656 is an abundant number, since it is smaller than the sum of its proper divisors (4507253064).

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

2106190656 is a wasteful number, since it uses less digits than its factorization.

2106190656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7481 (or 7468 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 2106190656 is about 45893.2528374270. The cubic root of 2106190656 is about 1281.8362836847.

The spelling of 2106190656 in words is "two billion, one hundred six million, one hundred ninety thousand, six hundred fifty-six".