2261810800 has 60 divisors (see below), whose sum is σ = 5670284400. Its totient is φ = 865384960.

The previous prime is 2261810779. The next prime is 2261810801. The reversal of 2261810800 is 80181622.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2261810801) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 113725 + ... + 132124.

It is an arithmetic number, because the mean of its divisors is an integer number (94504740).

Almost surely, 2^2261810800 is an apocalyptic number.

2261810800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2261810800 is an abundant number, since it is smaller than the sum of its proper divisors (3408473600).

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

2261810800 is a wasteful number, since it uses less digits than its factorization.

2261810800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245890 (or 245879 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 28.

The square root of 2261810800 is about 47558.4987147408. The cubic root of 2261810800 is about 1312.6595156086.

The spelling of 2261810800 in words is "two billion, two hundred sixty-one million, eight hundred ten thousand, eight hundred".