2009607988704 has 96 divisors (see below), whose sum is σ = 5335651077120. Its totient is φ = 662221842432.

The previous prime is 2009607988697. The next prime is 2009607988711. The reversal of 2009607988704 is 4078897069002.

It is an interprime number because it is at equal distance from previous prime (2009607988697) and next prime (2009607988711).

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4716072 + ... + 5124504.

It is an arithmetic number, because the mean of its divisors is an integer number (55579698720).

Almost surely, 2^{2009607988704} is an apocalyptic number.

2009607988704 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 2009607988704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2667825538560).

2009607988704 is an abundant number, since it is smaller than the sum of its proper divisors (3326043088416).

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

2009607988704 is a wasteful number, since it uses less digits than its factorization.

2009607988704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409032 (or 409024 counting only the distinct ones).

The product of its (nonzero) digits is 12192768, while the sum is 60.

The spelling of 2009607988704 in words is "two trillion, nine billion, six hundred seven million, nine hundred eighty-eight thousand, seven hundred four".