2825775360 has 432 divisors, whose sum is σ = 10606692096. Its totient is φ = 691863552.

The previous prime is 2825775349. The next prime is 2825775373. The reversal of 2825775360 is 635775282.

2825775360 is a `hidden beast` number, since 28 + 2 + 577 + 53 + 6 + 0 = 666.

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

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 47 ways as a sum of consecutive naturals, for example, 9204327 + ... + 9204633.

It is an arithmetic number, because the mean of its divisors is an integer number (24552528).

Almost surely, 2^2825775360 is an apocalyptic number.

2825775360 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 2825775360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5303346048).

2825775360 is an abundant number, since it is smaller than the sum of its proper divisors (7780916736).

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

2825775360 is a wasteful number, since it uses less digits than its factorization.

2825775360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The square root of 2825775360 is about 53158.0225365843. The cubic root of 2825775360 is about 1413.7714633914.

The spelling of 2825775360 in words is "two billion, eight hundred twenty-five million, seven hundred seventy-five thousand, three hundred sixty".