2201025625344 has 864 divisors, whose sum is σ = 8092322760704. Its totient is φ = 559692840960.

The previous prime is 2201025625339. The next prime is 2201025625363. The reversal of 2201025625344 is 4435265201022.

2201025625344 is a `hidden beast` number, since 2 + 2 + 0 + 1 + 0 + 2 + 562 + 53 + 44 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 2201025625299 and 2201025625308.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2580334422 + ... + 2580335274.

Almost surely, 2^{2201025625344} is an apocalyptic number.

2201025625344 is a gapful number since it is divisible by the number (24) 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 2201025625344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4046161380352).

2201025625344 is an abundant number, since it is smaller than the sum of its proper divisors (5891297135360).

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

2201025625344 is a wasteful number, since it uses less digits than its factorization.

2201025625344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1323 (or 1306 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The spelling of 2201025625344 in words is "two trillion, two hundred one billion, twenty-five million, six hundred twenty-five thousand, three hundred forty-four".