2625207266880 has 672 divisors, whose sum is σ = 10383126848640. Its totient is φ = 602093813760.

The previous prime is 2625207266783. The next prime is 2625207266921. The reversal of 2625207266880 is 886627025262.

It is a happy number.

2625207266880 is a `hidden beast` number, since 2 + 625 + 2 + 0 + 7 + 2 + 6 + 6 + 8 + 8 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 513435204 + ... + 513440316.

It is an arithmetic number, because the mean of its divisors is an integer number (15451081620).

Almost surely, 2^{2625207266880} is an apocalyptic number.

2625207266880 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 2625207266880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5191563424320).

2625207266880 is an abundant number, since it is smaller than the sum of its proper divisors (7757919581760).

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

2625207266880 is a wasteful number, since it uses less digits than its factorization.

2625207266880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6019 (or 6006 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 2625207266880 in words is "two trillion, six hundred twenty-five billion, two hundred seven million, two hundred sixty-six thousand, eight hundred eighty".