2030628600 has 1152 divisors, whose sum is σ = 9749376000. Its totient is φ = 372556800.

The previous prime is 2030628581. The next prime is 2030628637. The reversal of 2030628600 is 68260302.

2030628600 is a `hidden beast` number, since 2 + 0 + 30 + 6 + 28 + 600 = 666.

It is a super-2 number, since 2×2030628600² = 8246905022275920000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 88288189 + ... + 88288211.

It is an arithmetic number, because the mean of its divisors is an integer number (8463000).

Almost surely, 2^2030628600 is an apocalyptic number.

2030628600 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 2030628600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4874688000).

2030628600 is an abundant number, since it is smaller than the sum of its proper divisors (7718747400).

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

2030628600 is a wasteful number, since it uses less digits than its factorization.

2030628600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 2030628600 is about 45062.4966019416. The cubic root of 2030628600 is about 1266.3200975517.

Adding to 2030628600 its reverse (68260302), we get a palindrome (2098888902).

The spelling of 2030628600 in words is "two billion, thirty million, six hundred twenty-eight thousand, six hundred".