2260740000 has 240 divisors, whose sum is σ = 7604815680. Its totient is φ = 587520000.

The previous prime is 2260739969. The next prime is 2260740011. The reversal of 2260740000 is 470622.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×2260740000² = 10221890695200000000, 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 39 ways as a sum of consecutive naturals, for example, 2459541 + ... + 2460459.

It is an arithmetic number, because the mean of its divisors is an integer number (31686732).

Almost surely, 2^2260740000 is an apocalyptic number.

2260740000 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 2260740000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3802407840).

2260740000 is an abundant number, since it is smaller than the sum of its proper divisors (5344075680).

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

2260740000 is an equidigital number, since it uses as much as digits as its factorization.

2260740000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 993 (or 970 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 2260740000 is about 47547.2396675138. The cubic root of 2260740000 is about 1312.4523338698.

The spelling of 2260740000 in words is "two billion, two hundred sixty million, seven hundred forty thousand".