2261322000 has 480 divisors, whose sum is σ = 9161627904. Its totient is φ = 509184000.

The previous prime is 2261321989. The next prime is 2261322013. The reversal of 2261322000 is 2231622.

It is a super-3 number, since 3×2261322000³ (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16505932 + ... + 16506068.

Almost surely, 2^2261322000 is an apocalyptic number.

2261322000 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 2261322000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4580813952).

2261322000 is an abundant number, since it is smaller than the sum of its proper divisors (6900305904).

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

2261322000 is a wasteful number, since it uses less digits than its factorization.

2261322000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2261322000 is about 47553.3595027733. The cubic root of 2261322000 is about 1312.5649491669.

Adding to 2261322000 its reverse (2231622), we get a palindrome (2263553622).

The spelling of 2261322000 in words is "two billion, two hundred sixty-one million, three hundred twenty-two thousand".