2878960 has 80 divisors (see below), whose sum is σ = 7874496. Its totient is φ = 958464.

The previous prime is 2878957. The next prime is 2878961. The reversal of 2878960 is 698782.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2878961) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29632 + ... + 29728.

2^2878960 is an apocalyptic number.

2878960 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 2878960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3937248).

2878960 is an abundant number, since it is smaller than the sum of its proper divisors (4995536).

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

2878960 is a wasteful number, since it uses less digits than its factorization.

2878960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 40.

The square root of 2878960 is about 1696.7498342419. The cubic root of 2878960 is about 142.2586043352.

The spelling of 2878960 in words is "two million, eight hundred seventy-eight thousand, nine hundred sixty".