2986880 has 64 divisors (see below), whose sum is σ = 7711200. Its totient is φ = 1099776.

The previous prime is 2986871. The next prime is 2986889. The reversal of 2986880 is 886892.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2986871) and next prime (2986889).

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2986889) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8141 + ... + 8499.

2^2986880 is an apocalyptic number.

2986880 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 2986880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3855600).

2986880 is an abundant number, since it is smaller than the sum of its proper divisors (4724320).

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

2986880 is a wasteful number, since it uses less digits than its factorization.

2986880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391 (or 379 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 41.

The square root of 2986880 is about 1728.2592398133. The cubic root of 2986880 is about 144.0144018518.

The spelling of 2986880 in words is "two million, nine hundred eighty-six thousand, eight hundred eighty".