2260001700 has 162 divisors, whose sum is σ = 7786755522. Its totient is φ = 547852800.

The previous prime is 2260001693. The next prime is 2260001719. The reversal of 2260001700 is 71000622.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 51753636 + 2208248064 = 7194^2 + 46992^2 .

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 53 ways as a sum of consecutive naturals, for example, 98524 + ... + 119276.

Almost surely, 2^2260001700 is an apocalyptic number.

2260001700 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 2260001700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3893377761).

2260001700 is an abundant number, since it is smaller than the sum of its proper divisors (5526753822).

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

2260001700 is a wasteful number, since it uses less digits than its factorization.

2260001700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20795 (or 20774 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 2260001700 is about 47539.4751758999. The cubic root of 2260001700 is about 1312.3094471662.

The spelling of 2260001700 in words is "two billion, two hundred sixty million, one thousand, seven hundred".