2260161630 has 160 divisors (see below), whose sum is σ = 6238663200. Its totient is φ = 586932480.

The previous prime is 2260161623. The next prime is 2260161689. The reversal of 2260161630 is 361610622.

2260161630 is a `hidden beast` number, since 2 + 26 + 0 + 1 + 6 + 1 + 630 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 2260161594 and 2260161603.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7361937 + ... + 7362243.

It is an arithmetic number, because the mean of its divisors is an integer number (38991645).

Almost surely, 2^2260161630 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2260161630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3119331600).

2260161630 is an abundant number, since it is smaller than the sum of its proper divisors (3978501570).

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

2260161630 is a wasteful number, since it uses less digits than its factorization.

2260161630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 536 (or 527 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 2260161630 is about 47541.1572219272. The cubic root of 2260161630 is about 1312.3404018184.

The spelling of 2260161630 in words is "two billion, two hundred sixty million, one hundred sixty-one thousand, six hundred thirty".