2805153120 has 576 divisors, whose sum is σ = 12389884416. Its totient is φ = 582266880.

The previous prime is 2805153107. The next prime is 2805153229. The reversal of 2805153120 is 213515082.

It is a happy number.

2805153120 is a `hidden beast` number, since 2 + 80 + 51 + 531 + 2 + 0 = 666.

2805153120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 95 ways as a sum of consecutive naturals, for example, 2993292 + ... + 2994228.

It is an arithmetic number, because the mean of its divisors is an integer number (21510216).

Almost surely, 2^2805153120 is an apocalyptic number.

2805153120 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 2805153120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6194942208).

2805153120 is an abundant number, since it is smaller than the sum of its proper divisors (9584731296).

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

2805153120 is a wasteful number, since it uses less digits than its factorization.

2805153120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 985 (or 965 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 2805153120 is about 52963.6962456360. The cubic root of 2805153120 is about 1410.3238730891.

The spelling of 2805153120 in words is "two billion, eight hundred five million, one hundred fifty-three thousand, one hundred twenty".