2878080 has 64 divisors (see below), whose sum is σ = 9180000. Its totient is φ = 766976.

The previous prime is 2878067. The next prime is 2878093. The reversal of 2878080 is 808782.

It is an interprime number because it is at equal distance from previous prime (2878067) and next prime (2878093).

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

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a zygodrome in base 4.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1171 + ... + 2669.

2^2878080 is an apocalyptic number.

2878080 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 2878080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4590000).

2878080 is an abundant number, since it is smaller than the sum of its proper divisors (6301920).

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

2878080 is a wasteful number, since it uses less digits than its factorization.

2878080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1521 (or 1509 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 33.

The square root of 2878080 is about 1696.4904951104. The cubic root of 2878080 is about 142.2441083217.

The spelling of 2878080 in words is "two million, eight hundred seventy-eight thousand, eighty".