2128415616 has 192 divisors, whose sum is σ = 6510394800. Its totient is φ = 691752960.

The previous prime is 2128415609. The next prime is 2128415617. The reversal of 2128415616 is 6165148212.

It is a happy number.

2128415616 is a `hidden beast` number, since 2 + 1 + 28 + 4 + 15 + 616 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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 (2128415617) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1274430 + ... + 1276098.

Almost surely, 2^2128415616 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 2128415616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3255197400).

2128415616 is an abundant number, since it is smaller than the sum of its proper divisors (4381979184).

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

2128415616 is an equidigital number, since it uses as much as digits as its factorization.

2128415616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1739 (or 1715 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The square root of 2128415616 is about 46134.7549684617. The cubic root of 2128415616 is about 1286.3292509542.

The spelling of 2128415616 in words is "two billion, one hundred twenty-eight million, four hundred fifteen thousand, six hundred sixteen".