2625162500 has 108 divisors (see below), whose sum is σ = 6017810148. Its totient is φ = 1001880000.

The previous prime is 2625162481. The next prime is 2625162541. The reversal of 2625162500 is 52615262.

It can be written as a sum of positive squares in 6 ways, for example, as 1982742784 + 642419716 = 44528^2 + 25346^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6612302 + ... + 6612698.

Almost surely, 2^2625162500 is an apocalyptic number.

2625162500 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 2625162500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3008905074).

2625162500 is an abundant number, since it is smaller than the sum of its proper divisors (3392647648).

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

2625162500 is an equidigital number, since it uses as much as digits as its factorization.

2625162500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 472 (or 427 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 29.

The square root of 2625162500 is about 51236.3396428746. The cubic root of 2625162500 is about 1379.4905526939.

Adding to 2625162500 its reverse (52615262), we get a palindrome (2677777762).

The spelling of 2625162500 in words is "two billion, six hundred twenty-five million, one hundred sixty-two thousand, five hundred".