2125284480 has 320 divisors, whose sum is σ = 8281975680. Its totient is φ = 515082240.

The previous prime is 2125284467. The next prime is 2125284481. The reversal of 2125284480 is 844825212.

2125284480 is a `hidden beast` number, since 2 + 12 + 528 + 44 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

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 (2125284481) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 568377 + ... + 572103.

It is an arithmetic number, because the mean of its divisors is an integer number (25881174).

Almost surely, 2^2125284480 is an apocalyptic number.

2125284480 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 2125284480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4140987840).

2125284480 is an abundant number, since it is smaller than the sum of its proper divisors (6156691200).

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

2125284480 is a wasteful number, since it uses less digits than its factorization.

2125284480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3769 (or 3748 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 36.

The square root of 2125284480 is about 46100.8078020331. The cubic root of 2125284480 is about 1285.6981636074.

It can be divided in two parts, 2125284 and 480, that added together give a square (2125764 = 1458²).

The spelling of 2125284480 in words is "two billion, one hundred twenty-five million, two hundred eighty-four thousand, four hundred eighty".