2286640400 has 60 divisors (see below), whose sum is σ = 5993088144. Its totient is φ = 831504000.

The previous prime is 2286640399. The next prime is 2286640409. The reversal of 2286640400 is 40466822.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2286640409) 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, 255446 + ... + 264245.

Almost surely, 2^2286640400 is an apocalyptic number.

2286640400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2286640400 is an abundant number, since it is smaller than the sum of its proper divisors (3706447744).

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

2286640400 is a wasteful number, since it uses less digits than its factorization.

2286640400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 519720 (or 519709 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

The square root of 2286640400 is about 47818.8289275260. The cubic root of 2286640400 is about 1317.4453959489.

The spelling of 2286640400 in words is "two billion, two hundred eighty-six million, six hundred forty thousand, four hundred".