2625410007216 has 360 divisors, whose sum is σ = 7925145883200. Its totient is φ = 809078699520.

The previous prime is 2625410007151. The next prime is 2625410007221. The reversal of 2625410007216 is 6127000145262.

It is a happy number.

2625410007216 is a `hidden beast` number, since 2 + 6 + 25 + 410 + 0 + 0 + 7 + 216 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1621623655 + ... + 1621625273.

It is an arithmetic number, because the mean of its divisors is an integer number (22014294120).

Almost surely, 2^{2625410007216} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2625410007216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3962572941600).

2625410007216 is an abundant number, since it is smaller than the sum of its proper divisors (5299735875984).

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

2625410007216 is a wasteful number, since it uses less digits than its factorization.

2625410007216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1969 (or 1907 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 2625410007216 in words is "two trillion, six hundred twenty-five billion, four hundred ten million, seven thousand, two hundred sixteen".