2009814334528 has 672 divisors, whose sum is σ = 5726032784640. Its totient is φ = 690784174080.

The previous prime is 2009814334519. The next prime is 2009814334589. The reversal of 2009814334528 is 8254334189002.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1743116800 + ... + 1743117952.

It is an arithmetic number, because the mean of its divisors is an integer number (8520882120).

Almost surely, 2^{2009814334528} is an apocalyptic number.

2009814334528 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2009814334528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2863016392320).

2009814334528 is an abundant number, since it is smaller than the sum of its proper divisors (3716218450112).

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

2009814334528 is a wasteful number, since it uses less digits than its factorization.

2009814334528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1252 (or 1209 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 49.

The spelling of 2009814334528 in words is "two trillion, nine billion, eight hundred fourteen million, three hundred thirty-four thousand, five hundred twenty-eight".