2010012500 has 54 divisors (see below), whose sum is σ = 4407612426. Its totient is φ = 802000000.

The previous prime is 2010012469. The next prime is 2010012509. The reversal of 2010012500 is 52100102.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 9 ways, for example, as 1129228816 + 880783684 = 33604^2 + 29678^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2010012509) 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 17 ways as a sum of consecutive naturals, for example, 5012300 + ... + 5012700.

Almost surely, 2^2010012500 is an apocalyptic number.

2010012500 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 2010012500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2203806213).

2010012500 is an abundant number, since it is smaller than the sum of its proper divisors (2397599926).

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

2010012500 is an frugal number, since it uses more digits than its factorization.

2010012500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 831 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 11.

The square root of 2010012500 is about 44833.1629488708. The cubic root of 2010012500 is about 1262.0200443369.

Multiplying 2010012500 by its product of nonzero digits (20), we get a square (40200250000 = 200500²).

2010012500 divided by its product of nonzero digits (20) gives a square (100500625 = 10025²).

Adding to 2010012500 its reverse (52100102), we get a palindrome (2062112602).

The spelling of 2010012500 in words is "two billion, ten million, twelve thousand, five hundred".