2881920 has 128 divisors (see below), whose sum is σ = 9792000. Its totient is φ = 718848.

The previous prime is 2881897. The next prime is 2881937. The reversal of 2881920 is 291882.

2881920 = 125² + 126² + ... + 219².

2881920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36441 + ... + 36519.

It is an arithmetic number, because the mean of its divisors is an integer number (76500).

2^2881920 is an apocalyptic number.

2881920 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 2881920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4896000).

2881920 is an abundant number, since it is smaller than the sum of its proper divisors (6910080).

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

2881920 is a wasteful number, since it uses less digits than its factorization.

2881920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 30.

The square root of 2881920 is about 1697.6218660232. The cubic root of 2881920 is about 142.3073419856.

The spelling of 2881920 in words is "two million, eight hundred eighty-one thousand, nine hundred twenty".