2009526912456 has 128 divisors (see below), whose sum is σ = 5950852531200. Its totient is φ = 553291603200.

The previous prime is 2009526912451. The next prime is 2009526912487. The reversal of 2009526912456 is 6542196259002.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2009526912399 and 2009526912408.

It is not an unprimeable number, because it can be changed into a prime (2009526912451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2153731 + ... + 2942381.

It is an arithmetic number, because the mean of its divisors is an integer number (46491035400).

Almost surely, 2^{2009526912456} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2009526912456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2975426265600).

2009526912456 is an abundant number, since it is smaller than the sum of its proper divisors (3941325618744).

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

2009526912456 is a wasteful number, since it uses less digits than its factorization.

2009526912456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 789219 (or 789215 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 51.

The spelling of 2009526912456 in words is "two trillion, nine billion, five hundred twenty-six million, nine hundred twelve thousand, four hundred fifty-six".