2009037381120 has 1920 divisors, whose sum is σ = 8971654348800. Its totient is φ = 415276646400.

The previous prime is 2009037381103. The next prime is 2009037381149. The reversal of 2009037381120 is 211837309002.

2009037381120 is a `hidden beast` number, since 2 + 0 + 0 + 90 + 373 + 81 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 10518520225 + ... + 10518520415.

It is an arithmetic number, because the mean of its divisors is an integer number (4672736640).

Almost surely, 2^{2009037381120} is an apocalyptic number.

2009037381120 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 2009037381120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4485827174400).

2009037381120 is an abundant number, since it is smaller than the sum of its proper divisors (6962616967680).

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

2009037381120 is an equidigital number, since it uses as much as digits as its factorization.

2009037381120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 2009037381120 in words is "two trillion, nine billion, thirty-seven million, three hundred eighty-one thousand, one hundred twenty".