2007576084990 has 576 divisors, whose sum is σ = 6122050792704. Its totient is φ = 419772616704.

The previous prime is 2007576084967. The next prime is 2007576084991. The reversal of 2007576084990 is 994806757002.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a self number, because there is not a number n which added to its sum of digits gives 2007576084990.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2007576084991) by changing a digit.

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 287 ways as a sum of consecutive naturals, for example, 2213424117 + ... + 2213425023.

It is an arithmetic number, because the mean of its divisors is an integer number (10628560404).

Almost surely, 2^{2007576084990} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2007576084990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3061025396352).

2007576084990 is an abundant number, since it is smaller than the sum of its proper divisors (4114474707714).

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

2007576084990 is a wasteful number, since it uses less digits than its factorization.

2007576084990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1109 (or 1083 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 57.

The spelling of 2007576084990 in words is "two trillion, seven billion, five hundred seventy-six million, eighty-four thousand, nine hundred ninety".