2261576970 has 64 divisors (see below), whose sum is σ = 6042291840. Its totient is φ = 601945344.

The previous prime is 2261576923. The next prime is 2261576971. The reversal of 2261576970 is 796751622.

2261576970 is a `hidden beast` number, since 2 + 2 + 6 + 1 + 576 + 9 + 70 = 666.

It is a super-2 number, since 2×2261576970² = 10229460782468761800, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (2261576971) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 140034 + ... + 155346.

It is an arithmetic number, because the mean of its divisors is an integer number (94410810).

Almost surely, 2^2261576970 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2261576970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3021145920).

2261576970 is an abundant number, since it is smaller than the sum of its proper divisors (3780714870).

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

2261576970 is a wasteful number, since it uses less digits than its factorization.

2261576970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15876 (or 15870 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The square root of 2261576970 is about 47556.0403103538. The cubic root of 2261576970 is about 1312.6142790291.

The spelling of 2261576970 in words is "two billion, two hundred sixty-one million, five hundred seventy-six thousand, nine hundred seventy".