2261329920 has 192 divisors, whose sum is σ = 8039304000. Its totient is φ = 602947584.

The previous prime is 2261329901. The next prime is 2261329951. The reversal of 2261329920 is 299231622.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×2261329920² = 10227226014174412800, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 272391 + ... + 280569.

It is an arithmetic number, because the mean of its divisors is an integer number (41871375).

Almost surely, 2^2261329920 is an apocalyptic number.

2261329920 is a gapful number since it is divisible by the number (20) 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 2261329920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4019652000).

2261329920 is an abundant number, since it is smaller than the sum of its proper divisors (5777974080).

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

2261329920 is an equidigital number, since it uses as much as digits as its factorization.

2261329920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8215 (or 8189 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 2261329920 is about 47553.4427775739. The cubic root of 2261329920 is about 1312.5664815304.

The spelling of 2261329920 in words is "two billion, two hundred sixty-one million, three hundred twenty-nine thousand, nine hundred twenty".