2260968300 has 216 divisors, whose sum is σ = 7244869632. Its totient is φ = 589680000.

The previous prime is 2260968277. The next prime is 2260968317. The reversal of 2260968300 is 38690622.

2260968300 is a `hidden beast` number, since 2 + 260 + 96 + 8 + 300 = 666.

It is a super-2 number, since 2×2260968300² = 10223955307209780000, 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 71 ways as a sum of consecutive naturals, for example, 14973225 + ... + 14973375.

Almost surely, 2^2260968300 is an apocalyptic number.

2260968300 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 2260968300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3622434816).

2260968300 is an abundant number, since it is smaller than the sum of its proper divisors (4983901332).

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

2260968300 is a wasteful number, since it uses less digits than its factorization.

2260968300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 2260968300 is about 47549.6403771890. The cubic root of 2260968300 is about 1312.4965115554.

It can be divided in two parts, 22609 and 68300, that added together give a palindrome (90909).

The spelling of 2260968300 in words is "two billion, two hundred sixty million, nine hundred sixty-eight thousand, three hundred".