2128633416 has 288 divisors, whose sum is σ = 7260327360. Its totient is φ = 551536128.

The previous prime is 2128633399. The next prime is 2128633439. The reversal of 2128633416 is 6143368212.

2128633416 is a `hidden beast` number, since 2 + 1 + 2 + 8 + 633 + 4 + 16 = 666.

2128633416 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5706606 + ... + 5706978.

It is an arithmetic number, because the mean of its divisors is an integer number (25209470).

Almost surely, 2^2128633416 is an apocalyptic number.

2128633416 is a gapful number since it is divisible by the number (26) 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 2128633416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3630163680).

2128633416 is an abundant number, since it is smaller than the sum of its proper divisors (5131693944).

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

2128633416 is a wasteful number, since it uses less digits than its factorization.

2128633416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 485 (or 465 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 2128633416 is about 46137.1153844711. The cubic root of 2128633416 is about 1286.3731259933.

The spelling of 2128633416 in words is "two billion, one hundred twenty-eight million, six hundred thirty-three thousand, four hundred sixteen".