2989735465040 has 80 divisors (see below), whose sum is σ = 7635114000000. Its totient is φ = 1083693574656.

The previous prime is 2989735465033. The next prime is 2989735465061. The reversal of 2989735465040 is 405645379892.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42724415 + ... + 42794334.

It is an arithmetic number, because the mean of its divisors is an integer number (95438925000).

Almost surely, 2^{2989735465040} is an apocalyptic number.

2989735465040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2989735465040 is an abundant number, since it is smaller than the sum of its proper divisors (4645378534960).

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

2989735465040 is a wasteful number, since it uses less digits than its factorization.

2989735465040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85518804 (or 85518798 counting only the distinct ones).

The product of its (nonzero) digits is 65318400, while the sum is 62.

The spelling of 2989735465040 in words is "two trillion, nine hundred eighty-nine billion, seven hundred thirty-five million, four hundred sixty-five thousand, forty".