2854401120 has 240 divisors, whose sum is σ = 10247141520. Its totient is φ = 748071936.

The previous prime is 2854401119. The next prime is 2854401161. The reversal of 2854401120 is 211044582.

2854401120 is a `hidden beast` number, since 2 + 8 + 544 + 0 + 112 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 762774 + ... + 766506.

It is an arithmetic number, because the mean of its divisors is an integer number (42696423).

Almost surely, 2^2854401120 is an apocalyptic number.

2854401120 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 2854401120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5123570760).

2854401120 is an abundant number, since it is smaller than the sum of its proper divisors (7392740400).

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

2854401120 is a wasteful number, since it uses less digits than its factorization.

2854401120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3819 (or 3802 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 2854401120 is about 53426.5956242769. The cubic root of 2854401120 is about 1418.5293774297.

The spelling of 2854401120 in words is "two billion, eight hundred fifty-four million, four hundred one thousand, one hundred twenty".