2260830000 has 800 divisors, whose sum is σ = 9371400192. Its totient is φ = 460800000.

The previous prime is 2260829999. The next prime is 2260830001. The reversal of 2260830000 is 380622.

It is an interprime number because it is at equal distance from previous prime (2260829999) and next prime (2260830001).

It is a super-2 number, since 2×2260830000² = 10222704577800000000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2260830001) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 72929985 + ... + 72930015.

Almost surely, 2^2260830000 is an apocalyptic number.

2260830000 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 2260830000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4685700096).

2260830000 is an abundant number, since it is smaller than the sum of its proper divisors (7110570192).

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

2260830000 is a wasteful number, since it uses less digits than its factorization.

2260830000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 2260830000 is about 47548.1860852756. The cubic root of 2260830000 is about 1312.4697498697.

The spelling of 2260830000 in words is "two billion, two hundred sixty million, eight hundred thirty thousand".