2825138880 has 336 divisors, whose sum is σ = 10833994080. Its totient is φ = 671514624.

The previous prime is 2825138857. The next prime is 2825138881. The reversal of 2825138880 is 888315282.

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

It is not an unprimeable number, because it can be changed into a prime (2825138881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 928722 + ... + 931758.

It is an arithmetic number, because the mean of its divisors is an integer number (32244030).

Almost surely, 2^2825138880 is an apocalyptic number.

2825138880 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 2825138880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5416997040).

2825138880 is an abundant number, since it is smaller than the sum of its proper divisors (8008855200).

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

2825138880 is a wasteful number, since it uses less digits than its factorization.

2825138880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3096 (or 3083 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 45.

The square root of 2825138880 is about 53152.0355207588. The cubic root of 2825138880 is about 1413.6653090662.

The spelling of 2825138880 in words is "two billion, eight hundred twenty-five million, one hundred thirty-eight thousand, eight hundred eighty".