2851920 has 120 divisors (see below), whose sum is σ = 10184616. Its totient is φ = 712704.

The previous prime is 2851909. The next prime is 2851921. The reversal of 2851920 is 291582.

It can be written as a sum of positive squares in 4 ways, for example, as 266256 + 2585664 = 516^2 + 1608^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2851921) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12124 + ... + 12356.

2^2851920 is an apocalyptic number.

2851920 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 2851920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5092308).

2851920 is an abundant number, since it is smaller than the sum of its proper divisors (7332696).

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

2851920 is a wasteful number, since it uses less digits than its factorization.

2851920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 2851920 is about 1688.7628607948. The cubic root of 2851920 is about 141.8118250692.

The spelling of 2851920 in words is "two million, eight hundred fifty-one thousand, nine hundred twenty".