2602530000 has 800 divisors, whose sum is σ = 11435339520. Its totient is φ = 559872000.

The previous prime is 2602529929. The next prime is 2602530001. The reversal of 2602530000 is 352062.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2602530001) by changing a digit.

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 159 ways as a sum of consecutive naturals, for example, 153089992 + ... + 153090008.

Almost surely, 2^2602530000 is an apocalyptic number.

2602530000 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 2602530000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5717669760).

2602530000 is an abundant number, since it is smaller than the sum of its proper divisors (8832809520).

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

2602530000 is an frugal number, since it uses more digits than its factorization.

2602530000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 2602530000 is about 51014.9977947662. The cubic root of 2602530000 is about 1375.5147384104.

Adding to 2602530000 its reverse (352062), we get a palindrome (2602882062).

The spelling of 2602530000 in words is "two billion, six hundred two million, five hundred thirty thousand".