2030140528900 has 81 divisors (see below), whose sum is σ = 4842678477343. Its totient is φ = 738175926400.

The previous prime is 2030140528879. The next prime is 2030140528907. The reversal of 2030140528900 is 98250410302.

The square root of 2030140528900 is 1424830.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 676529280196 + 1353611248704 = 822514^2 + 1163448^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2030140528907) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 156724824 + ... + 156737776.

Almost surely, 2^{2030140528900} is an apocalyptic number.

2030140528900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2030140528900 is the 1424830-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2030140528900

2030140528900 is an abundant number, since it is smaller than the sum of its proper divisors (2812537948443).

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

2030140528900 is an equidigital number, since it uses as much as digits as its factorization.

2030140528900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25942 (or 12971 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 34.

The spelling of 2030140528900 in words is "two trillion, thirty billion, one hundred forty million, five hundred twenty-eight thousand, nine hundred".