2009593096938 has 96 divisors (see below), whose sum is σ = 5003466738816. Its totient is φ = 571017682944.

The previous prime is 2009593096933. The next prime is 2009593096967. The reversal of 2009593096938 is 8396903959002.

2009593096938 is a `hidden beast` number, since 2 + 0 + 0 + 9 + 593 + 0 + 9 + 6 + 9 + 38 = 666.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2009593096933) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 92227281 + ... + 92249067.

It is an arithmetic number, because the mean of its divisors is an integer number (52119445196).

Almost surely, 2^{2009593096938} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2009593096938, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2501733369408).

2009593096938 is an abundant number, since it is smaller than the sum of its proper divisors (2993873641878).

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

2009593096938 is a wasteful number, since it uses less digits than its factorization.

2009593096938 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25788 (or 25785 counting only the distinct ones).

The product of its (nonzero) digits is 28343520, while the sum is 63.

The spelling of 2009593096938 in words is "two trillion, nine billion, five hundred ninety-three million, ninety-six thousand, nine hundred thirty-eight".