2059628100 has 72 divisors (see below), whose sum is σ = 5966888928. Its totient is φ = 548524800.

The previous prime is 2059628099. The next prime is 2059628119. The reversal of 2059628100 is 18269502.

2059628100 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2059628100² = 8484135820619220000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 253095 + ... + 261105.

Almost surely, 2^2059628100 is an apocalyptic number.

2059628100 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 2059628100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2983444464).

2059628100 is an abundant number, since it is smaller than the sum of its proper divisors (3907260828).

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

2059628100 is a wasteful number, since it uses less digits than its factorization.

2059628100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8885 (or 8878 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 2059628100 is about 45383.1257187074. The cubic root of 2059628100 is about 1272.3197521965.

The spelling of 2059628100 in words is "two billion, fifty-nine million, six hundred twenty-eight thousand, one hundred".