2886288480 has 576 divisors, whose sum is σ = 11095418880. Its totient is φ = 680140800.

The previous prime is 2886288479. The next prime is 2886288533. The reversal of 2886288480 is 848826882.

2886288480 is a `hidden beast` number, since 2 + 8 + 8 + 628 + 8 + 4 + 8 + 0 = 666.

It is a super-2 number, since 2×2886288480² = 16661322379561420800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 34774519 + ... + 34774601.

It is an arithmetic number, because the mean of its divisors is an integer number (19262880).

Almost surely, 2^2886288480 is an apocalyptic number.

2886288480 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 2886288480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5547709440).

2886288480 is an abundant number, since it is smaller than the sum of its proper divisors (8209130400).

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

2886288480 is a wasteful number, since it uses less digits than its factorization.

2886288480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 3145728, while the sum is 54.

The square root of 2886288480 is about 53724.1889654930. The cubic root of 2886288480 is about 1423.7920992196.

The spelling of 2886288480 in words is "two billion, eight hundred eighty-six million, two hundred eighty-eight thousand, four hundred eighty".