2261817120 has 48 divisors (see below), whose sum is σ = 7124725440. Its totient is φ = 603151104.

The previous prime is 2261817119. The next prime is 2261817137. The reversal of 2261817120 is 217181622.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2355580 + ... + 2356539.

It is an arithmetic number, because the mean of its divisors is an integer number (148431780).

Almost surely, 2^2261817120 is an apocalyptic number.

2261817120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2261817120 is an abundant number, since it is smaller than the sum of its proper divisors (4862908320).

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

2261817120 is a wasteful number, since it uses less digits than its factorization.

2261817120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4712137 (or 4712129 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 30.

The square root of 2261817120 is about 47558.5651591803. The cubic root of 2261817120 is about 1312.6607382279.

Adding to 2261817120 its reverse (217181622), we get a palindrome (2478998742).

The spelling of 2261817120 in words is "two billion, two hundred sixty-one million, eight hundred seventeen thousand, one hundred twenty".