2879760 has 120 divisors (see below), whose sum is σ = 9802944. Its totient is φ = 698880.

The previous prime is 2879759. The next prime is 2879771. The reversal of 2879760 is 679782.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40525 + ... + 40595.

2^2879760 is an apocalyptic number.

2879760 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 2879760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4901472).

2879760 is an abundant number, since it is smaller than the sum of its proper divisors (6923184).

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

2879760 is a wasteful number, since it uses less digits than its factorization.

2879760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 39.

The square root of 2879760 is about 1696.9855626964. The cubic root of 2879760 is about 142.2717799661.

The spelling of 2879760 in words is "two million, eight hundred seventy-nine thousand, seven hundred sixty".