2284201009040 has 40 divisors (see below), whose sum is σ = 5359490002680. Its totient is φ = 905298011136.

The previous prime is 2284201009039. The next prime is 2284201009081. The reversal of 2284201009040 is 409001024822.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 311547050896 + 1972653958144 = 558164^2 + 1404512^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 2284201008988 and 2284201009006.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 130966109 + ... + 130983548.

It is an arithmetic number, because the mean of its divisors is an integer number (133987250067).

Almost surely, 2^{2284201009040} is an apocalyptic number.

2284201009040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2284201009040 is an abundant number, since it is smaller than the sum of its proper divisors (3075288993640).

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

2284201009040 is a wasteful number, since it uses less digits than its factorization.

2284201009040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261949779 (or 261949773 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

The spelling of 2284201009040 in words is "two trillion, two hundred eighty-four billion, two hundred one million, nine thousand, forty".