2625408500 has 192 divisors, whose sum is σ = 6842174976. Its totient is φ = 867456000.

The previous prime is 2625408497. The next prime is 2625408521. The reversal of 2625408500 is 58045262.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5219249 + ... + 5219751.

It is an arithmetic number, because the mean of its divisors is an integer number (35636328).

Almost surely, 2^2625408500 is an apocalyptic number.

2625408500 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 2625408500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3421087488).

2625408500 is an abundant number, since it is smaller than the sum of its proper divisors (4216766476).

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

2625408500 is a wasteful number, since it uses less digits than its factorization.

2625408500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 619 (or 607 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 32.

The square root of 2625408500 is about 51238.7402265122. The cubic root of 2625408500 is about 1379.5336413378.

The spelling of 2625408500 in words is "two billion, six hundred twenty-five million, four hundred eight thousand, five hundred".