2853920880 has 120 divisors (see below), whose sum is σ = 9645846912. Its totient is φ = 756168192.

The previous prime is 2853920869. The next prime is 2853920921. The reversal of 2853920880 is 880293582.

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

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 100417 + ... + 125663.

Almost surely, 2^2853920880 is an apocalyptic number.

2853920880 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 2853920880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4822923456).

2853920880 is an abundant number, since it is smaller than the sum of its proper divisors (6791926032).

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

2853920880 is a wasteful number, since it uses less digits than its factorization.

2853920880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25423 (or 25414 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 2853920880 is about 53422.1010444179. The cubic root of 2853920880 is about 1418.4498192634.

The spelling of 2853920880 in words is "two billion, eight hundred fifty-three million, nine hundred twenty thousand, eight hundred eighty".