2009291110000 has 150 divisors (see below), whose sum is σ = 4892803701632. Its totient is φ = 799098960000.

The previous prime is 2009291109997. The next prime is 2009291110111. The reversal of 2009291110000 is 111929002.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 320406865 + ... + 320413135.

Almost surely, 2^{2009291110000} is an apocalyptic number.

2009291110000 is a gapful number since it is divisible by the number (20) 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 2009291110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2446401850816).

2009291110000 is an abundant number, since it is smaller than the sum of its proper divisors (2883512591632).

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

2009291110000 is an frugal number, since it uses more digits than its factorization.

2009291110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6657 (or 6457 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 25.

The spelling of 2009291110000 in words is "two trillion, nine billion, two hundred ninety-one million, one hundred ten thousand".