2627130000 has 400 divisors, whose sum is σ = 9761875200. Its totient is φ = 601920000.

The previous prime is 2627129971. The next prime is 2627130013. The reversal of 2627130000 is 317262.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (400).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6269791 + ... + 6270209.

It is an arithmetic number, because the mean of its divisors is an integer number (24404688).

Almost surely, 2^2627130000 is an apocalyptic number.

2627130000 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 2627130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4880937600).

2627130000 is an abundant number, since it is smaller than the sum of its proper divisors (7134745200).

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

2627130000 is a wasteful number, since it uses less digits than its factorization.

2627130000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 2627130000 is about 51255.5362863369. The cubic root of 2627130000 is about 1379.8350989687.

Adding to 2627130000 its reverse (317262), we get a palindrome (2627447262).

The spelling of 2627130000 in words is "two billion, six hundred twenty-seven million, one hundred thirty thousand".