2083016628 has 192 divisors, whose sum is σ = 6759997440. Its totient is φ = 538876800.

The previous prime is 2083016623. The next prime is 2083016629. The reversal of 2083016628 is 8266103802.

2083016628 is a `hidden beast` number, since 20 + 8 + 3 + 0 + 1 + 6 + 628 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 2083016592 and 2083016601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2083016623) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3850038 + ... + 3850578.

It is an arithmetic number, because the mean of its divisors is an integer number (35208320).

Almost surely, 2^2083016628 is an apocalyptic number.

2083016628 is a gapful number since it is divisible by the number (28) 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 2083016628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3379998720).

2083016628 is an abundant number, since it is smaller than the sum of its proper divisors (4676980812).

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

2083016628 is a wasteful number, since it uses less digits than its factorization.

2083016628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1035 (or 1027 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 2083016628 is about 45640.0769938001. The cubic root of 2083016628 is about 1277.1176655670.

The spelling of 2083016628 in words is "two billion, eighty-three million, sixteen thousand, six hundred twenty-eight".