2989575424640 has 384 divisors, whose sum is σ = 8817793332480. Its totient is φ = 963066101760.

The previous prime is 2989575424621. The next prime is 2989575424643. The reversal of 2989575424640 is 464245759892.

It is a super-2 number, since 2×2989575424640² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2989575424643) 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, 336394277 + ... + 336403163.

It is an arithmetic number, because the mean of its divisors is an integer number (22963003470).

Almost surely, 2^{2989575424640} is an apocalyptic number.

2989575424640 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 2989575424640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4408896666240).

2989575424640 is an abundant number, since it is smaller than the sum of its proper divisors (5828217907840).

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

2989575424640 is a wasteful number, since it uses less digits than its factorization.

2989575424640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9568 (or 9549 counting only the distinct ones).

The product of its (nonzero) digits is 174182400, while the sum is 65.

The spelling of 2989575424640 in words is "two trillion, nine hundred eighty-nine billion, five hundred seventy-five million, four hundred twenty-four thousand, six hundred forty".