2009920324272 has 240 divisors, whose sum is σ = 6140430737280. Its totient is φ = 564793399296.

The previous prime is 2009920324267. The next prime is 2009920324319. The reversal of 2009920324272 is 2724230299002.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34952568 + ... + 35010024.

It is an arithmetic number, because the mean of its divisors is an integer number (25585128072).

Almost surely, 2^{2009920324272} 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 2009920324272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3070215368640).

2009920324272 is an abundant number, since it is smaller than the sum of its proper divisors (4130510413008).

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

2009920324272 is a wasteful number, since it uses less digits than its factorization.

2009920324272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57728 (or 57715 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 42.

The spelling of 2009920324272 in words is "two trillion, nine billion, nine hundred twenty million, three hundred twenty-four thousand, two hundred seventy-two".