2280640442000 has 80 divisors (see below), whose sum is σ = 5528073673200. Its totient is φ = 910025395200.

The previous prime is 2280640441991. The next prime is 2280640442009. The reversal of 2280640442000 is 2440460822.

It is an interprime number because it is at equal distance from previous prime (2280640441991) and next prime (2280640442009).

It can be written as a sum of positive squares in 8 ways, for example, as 7927409296 + 2272713032704 = 89036^2 + 1507552^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (2280640442009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 576035 + ... + 2212034.

It is an arithmetic number, because the mean of its divisors is an integer number (69100920915).

Almost surely, 2^{2280640442000} is an apocalyptic number.

2280640442000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2280640442000 is an abundant number, since it is smaller than the sum of its proper divisors (3247433231200).

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

2280640442000 is a wasteful number, since it uses less digits than its factorization.

2280640442000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2788501 (or 2788485 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 32.

The spelling of 2280640442000 in words is "two trillion, two hundred eighty billion, six hundred forty million, four hundred forty-two thousand".