2260900000 has 144 divisors (see below), whose sum is σ = 5811378048. Its totient is φ = 864160000.

The previous prime is 2260899983. The next prime is 2260900013. The reversal of 2260900000 is 90622.

It is a super-2 number, since 2×2260900000² = 10223337620000000000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2299509 + ... + 2300491.

It is an arithmetic number, because the mean of its divisors is an integer number (40356792).

Almost surely, 2^2260900000 is an apocalyptic number.

2260900000 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 2260900000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2905689024).

2260900000 is an abundant number, since it is smaller than the sum of its proper divisors (3550478048).

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

2260900000 is an frugal number, since it uses more digits than its factorization.

2260900000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1041 (or 1013 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

The square root of 2260900000 is about 47548.9221749558. The cubic root of 2260900000 is about 1312.4832953278.

Adding to 2260900000 its reverse (90622), we get a palindrome (2260990622).

The spelling of 2260900000 in words is "two billion, two hundred sixty million, nine hundred thousand".