2905198080 has 160 divisors (see below), whose sum is σ = 9691951104. Its totient is φ = 740990976.

The previous prime is 2905198073. The next prime is 2905198081. The reversal of 2905198080 is 808915092.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2905198081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 168417 + ... + 184863.

Almost surely, 2^2905198080 is an apocalyptic number.

2905198080 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 2905198080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4845975552).

2905198080 is an abundant number, since it is smaller than the sum of its proper divisors (6786753024).

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

2905198080 is a wasteful number, since it uses less digits than its factorization.

2905198080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16496 (or 16480 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 42.

The square root of 2905198080 is about 53899.8894247474. The cubic root of 2905198080 is about 1426.8946714909.

The spelling of 2905198080 in words is "two billion, nine hundred five million, one hundred ninety-eight thousand, eighty".