2125082880 has 216 divisors, whose sum is σ = 7607297880. Its totient is φ = 547061760.

The previous prime is 2125082867. The next prime is 2125082881. The reversal of 2125082880 is 882805212.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 84934656 + 2040148224 = 9216^2 + 45168^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2125082881) by changing a digit.

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, 330900 + ... + 337260.

Almost surely, 2^2125082880 is an apocalyptic number.

2125082880 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 2125082880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3803648940).

2125082880 is an abundant number, since it is smaller than the sum of its proper divisors (5482215000).

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

2125082880 is a wasteful number, since it uses less digits than its factorization.

2125082880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6417 (or 6400 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The square root of 2125082880 is about 46098.6212375164. The cubic root of 2125082880 is about 1285.6575094505.

The spelling of 2125082880 in words is "two billion, one hundred twenty-five million, eighty-two thousand, eight hundred eighty".