2951086080 has 288 divisors, whose sum is σ = 10066291200. Its totient is φ = 736100352.

The previous prime is 2951086079. The next prime is 2951086091. The reversal of 2951086080 is 806801592.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37355481 + ... + 37355559.

It is an arithmetic number, because the mean of its divisors is an integer number (34952400).

Almost surely, 2^2951086080 is an apocalyptic number.

2951086080 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 2951086080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5033145600).

2951086080 is an abundant number, since it is smaller than the sum of its proper divisors (7115205120).

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

2951086080 is an frugal number, since it uses more digits than its factorization.

2951086080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 39.

The square root of 2951086080 is about 54323.8997127415. The cubic root of 2951086080 is about 1434.3681257781.

The spelling of 2951086080 in words is "two billion, nine hundred fifty-one million, eighty-six thousand, eighty".