2009593096920 has 288 divisors, whose sum is σ = 6833920270320. Its totient is φ = 531791619840.

The previous prime is 2009593096919. The next prime is 2009593096921. The reversal of 2009593096920 is 296903959002.

2009593096920 is a `hidden beast` number, since 20 + 0 + 9 + 593 + 0 + 9 + 6 + 9 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (2009593096919) and next prime (2009593096921).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2009593096921) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 34350414 + ... + 34408866.

Almost surely, 2^{2009593096920} is an apocalyptic number.

2009593096920 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 2009593096920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3416960135160).

2009593096920 is an abundant number, since it is smaller than the sum of its proper divisors (4824327173400).

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

2009593096920 is an equidigital number, since it uses as much as digits as its factorization.

2009593096920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58619 (or 58594 counting only the distinct ones).

The product of its (nonzero) digits is 2361960, while the sum is 54.

The spelling of 2009593096920 in words is "two trillion, nine billion, five hundred ninety-three million, ninety-six thousand, nine hundred twenty".