2871440 has 80 divisors (see below), whose sum is σ = 7874496. Its totient is φ = 960000.

The previous prime is 2871439. The next prime is 2871457. The reversal of 2871440 is 441782.

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 (26).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11315 + ... + 11565.

2^2871440 is an apocalyptic number.

2871440 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 2871440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3937248).

2871440 is an abundant number, since it is smaller than the sum of its proper divisors (5003056).

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

2871440 is a wasteful number, since it uses less digits than its factorization.

2871440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 26.

The square root of 2871440 is about 1694.5323838747. The cubic root of 2871440 is about 142.1346339311.

The spelling of 2871440 in words is "two million, eight hundred seventy-one thousand, four hundred forty".