20002500 has 180 divisors, whose sum is σ = 72776704. Its totient is φ = 4536000.

The previous prime is 20002487. The next prime is 20002529. The reversal of 20002500 is 520002.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 157437 + ... + 157563.

Almost surely, 2^20002500 is an apocalyptic number.

20002500 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 20002500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36388352).

20002500 is an abundant number, since it is smaller than the sum of its proper divisors (52774204).

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

20002500 is a wasteful number, since it uses less digits than its factorization.

20002500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 9.

The square root of 20002500 is about 4472.4154547627. The cubic root of 20002500 is about 271.4530712617.

Adding to 20002500 its reverse (520002), we get a palindrome (20522502).

It can be divided in two parts, 20002 and 500, that added together give a palindrome (20502).

The spelling of 20002500 in words is "twenty million, two thousand, five hundred".