2905055642480 has 80 divisors (see below), whose sum is σ = 6855808179360. Its totient is φ = 1144554402816.

The previous prime is 2905055642399. The next prime is 2905055642483. The reversal of 2905055642480 is 842465505092.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2905055642483) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61278626 + ... + 61326014.

It is an arithmetic number, because the mean of its divisors is an integer number (85697602242).

Almost surely, 2^{2905055642480} is an apocalyptic number.

2905055642480 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 2905055642480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3427904089680).

2905055642480 is an abundant number, since it is smaller than the sum of its proper divisors (3950752536880).

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

2905055642480 is a wasteful number, since it uses less digits than its factorization.

2905055642480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58906 (or 58900 counting only the distinct ones).

The product of its (nonzero) digits is 3456000, while the sum is 50.

The spelling of 2905055642480 in words is "two trillion, nine hundred five billion, fifty-five million, six hundred forty-two thousand, four hundred eighty".