2125823616 has 320 divisors, whose sum is σ = 7659938880. Its totient is φ = 571318272.

The previous prime is 2125823603. The next prime is 2125823647. The reversal of 2125823616 is 6163285212.

2125823616 is a `hidden beast` number, since 2 + 12 + 5 + 8 + 23 + 616 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1232931 + ... + 1234653.

It is an arithmetic number, because the mean of its divisors is an integer number (23937309).

Almost surely, 2^2125823616 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2125823616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3829969440).

2125823616 is an abundant number, since it is smaller than the sum of its proper divisors (5534115264).

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

2125823616 is a wasteful number, since it uses less digits than its factorization.

2125823616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1773 (or 1752 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 2125823616 is about 46106.6547908217. The cubic root of 2125823616 is about 1285.8068718088.

The spelling of 2125823616 in words is "two billion, one hundred twenty-five million, eight hundred twenty-three thousand, six hundred sixteen".