2881760 has 96 divisors (see below), whose sum is σ = 8128512. Its totient is φ = 944640.

The previous prime is 2881733. The next prime is 2881783. The reversal of 2881760 is 671882.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

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, 34679 + ... + 34761.

It is an arithmetic number, because the mean of its divisors is an integer number (84672).

2^2881760 is an apocalyptic number.

2881760 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 2881760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4064256).

2881760 is an abundant number, since it is smaller than the sum of its proper divisors (5246752).

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

2881760 is a wasteful number, since it uses less digits than its factorization.

2881760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 32.

The square root of 2881760 is about 1697.5747406226. The cubic root of 2881760 is about 142.3047083714.

It can be divided in two parts, 288 and 1760, that added together give a 11-th power (2048 = 2¹¹).

The spelling of 2881760 in words is "two million, eight hundred eighty-one thousand, seven hundred sixty".