2009537800920 has 256 divisors, whose sum is σ = 7218831715200. Its totient is φ = 494305320960.

The previous prime is 2009537800891. The next prime is 2009537800927. The reversal of 2009537800920 is 290087359002.

2009537800920 is a `hidden beast` number, since 20 + 0 + 9 + 537 + 8 + 0 + 0 + 92 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2009537800927) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20069380 + ... + 20169260.

Almost surely, 2^{2009537800920} is an apocalyptic number.

2009537800920 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 2009537800920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3609415857600).

2009537800920 is an abundant number, since it is smaller than the sum of its proper divisors (5209293914280).

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

2009537800920 is a wasteful number, since it uses less digits than its factorization.

2009537800920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101347 (or 101337 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 2009537800920 in words is "two trillion, nine billion, five hundred thirty-seven million, eight hundred thousand, nine hundred twenty".