2881440 has 192 divisors, whose sum is σ = 10886400. Its totient is φ = 709632.

The previous prime is 2881433. The next prime is 2881441. The reversal of 2881440 is 441882.

2881440 is nontrivially palindromic in base 11.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2881441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 99346 + ... + 99374.

It is an arithmetic number, because the mean of its divisors is an integer number (56700).

2^2881440 is an apocalyptic number.

2881440 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 2881440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5443200).

2881440 is an abundant number, since it is smaller than the sum of its proper divisors (8004960).

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

2881440 is a wasteful number, since it uses less digits than its factorization.

2881440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 2881440 is about 1697.4804858967. The cubic root of 2881440 is about 142.2994408506.

It can be divided in two parts, 2881 and 440, that added together give a triangular number (3321 = T₈₁).

The spelling of 2881440 in words is "two million, eight hundred eighty-one thousand, four hundred forty".