2009927241504 has 864 divisors, whose sum is σ = 7266019977216. Its totient is φ = 522338181120.

The previous prime is 2009927241481. The next prime is 2009927241521. The reversal of 2009927241504 is 4051427299002.

2009927241504 is a `hidden beast` number, since 200 + 9 + 9 + 27 + 2 + 415 + 0 + 4 = 666.

It is a super-2 number, since 2×2009927241504² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2009927241504.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6546994119 + ... + 6546994425.

It is an arithmetic number, because the mean of its divisors is an integer number (8409745344).

Almost surely, 2^{2009927241504} is an apocalyptic number.

2009927241504 is a gapful number since it is divisible by the number (24) 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 2009927241504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3633009988608).

2009927241504 is an abundant number, since it is smaller than the sum of its proper divisors (5256092735712).

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

2009927241504 is a wasteful number, since it uses less digits than its factorization.

2009927241504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 758 (or 740 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 2009927241504 in words is "two trillion, nine billion, nine hundred twenty-seven million, two hundred forty-one thousand, five hundred four".