2202425013600 has 576 divisors, whose sum is σ = 9161438630400. Its totient is φ = 500199598080.

The previous prime is 2202425013587. The next prime is 2202425013751. The reversal of 2202425013600 is 63105242022.

It is a happy number.

2202425013600 is a `hidden beast` number, since 2 + 2 + 0 + 2 + 4 + 2 + 50 + 1 + 3 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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, 23692011 + ... + 23784789.

It is an arithmetic number, because the mean of its divisors is an integer number (15905275400).

Almost surely, 2^{2202425013600} is an apocalyptic number.

2202425013600 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 2202425013600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4580719315200).

2202425013600 is an abundant number, since it is smaller than the sum of its proper divisors (6959013616800).

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

2202425013600 is a wasteful number, since it uses less digits than its factorization.

2202425013600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92972 (or 92953 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The spelling of 2202425013600 in words is "two trillion, two hundred two billion, four hundred twenty-five million, thirteen thousand, six hundred".