2009291493888 has 480 divisors, whose sum is σ = 6756317568000. Its totient is φ = 562962751488.

The previous prime is 2009291493863. The next prime is 2009291493899. The reversal of 2009291493888 is 8883941929002.

It is a happy number.

2009291493888 is a `hidden beast` number, since 20 + 0 + 92 + 9 + 149 + 388 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 957260263 + ... + 957262361.

It is an arithmetic number, because the mean of its divisors is an integer number (14075661600).

Almost surely, 2^{2009291493888} is an apocalyptic number.

2009291493888 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 2009291493888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3378158784000).

2009291493888 is an abundant number, since it is smaller than the sum of its proper divisors (4747026074112).

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

2009291493888 is a wasteful number, since it uses less digits than its factorization.

2009291493888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2692 (or 2673 counting only the distinct ones).

The product of its (nonzero) digits is 17915904, while the sum is 63.

The spelling of 2009291493888 in words is "two trillion, nine billion, two hundred ninety-one million, four hundred ninety-three thousand, eight hundred eighty-eight".