2282686800 has 60 divisors (see below), whose sum is σ = 7312210560. Its totient is φ = 608716160.

The previous prime is 2282686799. The next prime is 2282686801. The reversal of 2282686800 is 86862822.

It is an interprime number because it is at equal distance from previous prime (2282686799) and next prime (2282686801).

It is a tau number, because it is divible by the number of its divisors (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2282686801) 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, 949920 + ... + 952319.

It is an arithmetic number, because the mean of its divisors is an integer number (121870176).

Almost surely, 2^2282686800 is an apocalyptic number.

2282686800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2282686800 is an abundant number, since it is smaller than the sum of its proper divisors (5029523760).

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

2282686800 is a wasteful number, since it uses less digits than its factorization.

2282686800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1902260 (or 1902249 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 42.

The square root of 2282686800 is about 47777.4716786060. The cubic root of 2282686800 is about 1316.6856704694.

The spelling of 2282686800 in words is "two billion, two hundred eighty-two million, six hundred eighty-six thousand, eight hundred".