2881200 has 150 divisors (see below), whose sum is σ = 10767044. Its totient is φ = 658560.

The previous prime is 2881183. The next prime is 2881243. The reversal of 2881200 is 21882.

2881200 is a nontrivial binomial coefficient, being equal to C(2401, 2).

It is a tau number, because it is divible by the number of its divisors (150).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a nialpdrome in base 7 and base 14.

It is a zygodrome in base 7 and base 14.

It is an unprimeable number.

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 29 ways as a sum of consecutive naturals, for example, 411597 + ... + 411603.

2^2881200 is an apocalyptic number.

2881200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2881200 is the 2400-th triangular number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2881200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5383522).

2881200 is an abundant number, since it is smaller than the sum of its proper divisors (7885844).

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

2881200 is an equidigital number, since it uses as much as digits as its factorization.

2881200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

The square root of 2881200 is about 1697.4097914175. The cubic root of 2881200 is about 142.2954899541.

It can be divided in two parts, 2881 and 200, that added together give a triangular number (3081 = T₇₈).

The spelling of 2881200 in words is "two million, eight hundred eighty-one thousand, two hundred".