2985639633408 has 320 divisors, whose sum is σ = 8173765416960. Its totient is φ = 968187297792.

The previous prime is 2985639633401. The next prime is 2985639633437. The reversal of 2985639633408 is 8043369365892.

It is not an unprimeable number, because it can be changed into a prime (2985639633401) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2947323910 + ... + 2947324922.

It is an arithmetic number, because the mean of its divisors is an integer number (25543016928).

Almost surely, 2^{2985639633408} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2985639633408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4086882708480).

2985639633408 is an abundant number, since it is smaller than the sum of its proper divisors (5188125783552).

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

2985639633408 is a wasteful number, since it uses less digits than its factorization.

2985639633408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1447 (or 1431 counting only the distinct ones).

The product of its (nonzero) digits is 201553920, while the sum is 66.

The spelling of 2985639633408 in words is "two trillion, nine hundred eighty-five billion, six hundred thirty-nine million, six hundred thirty-three thousand, four hundred eight".