2953441041936 has 320 divisors, whose sum is σ = 9568761845760. Its totient is φ = 762594693120.

The previous prime is 2953441041917. The next prime is 2953441041953. The reversal of 2953441041936 is 6391401443592.

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 63 ways as a sum of consecutive naturals, for example, 450010591 + ... + 450017153.

It is an arithmetic number, because the mean of its divisors is an integer number (29902380768).

Almost surely, 2^{2953441041936} 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 2953441041936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4784380922880).

2953441041936 is an abundant number, since it is smaller than the sum of its proper divisors (6615320803824).

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

2953441041936 is a wasteful number, since it uses less digits than its factorization.

2953441041936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7294 (or 7288 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 51.

The spelling of 2953441041936 in words is "two trillion, nine hundred fifty-three billion, four hundred forty-one million, forty-one thousand, nine hundred thirty-six".