2225284967360 has 672 divisors, whose sum is σ = 7177450882560. Its totient is φ = 638106771456.

The previous prime is 2225284967317. The next prime is 2225284967369. The reversal of 2225284967360 is 637694825222.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a junction number, because it is equal to n+sod(n) for n = 2225284967296 and 2225284967305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2225284967369) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 292681319 + ... + 292688921.

It is an arithmetic number, because the mean of its divisors is an integer number (10680730480).

Almost surely, 2^{2225284967360} is an apocalyptic number.

2225284967360 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 2225284967360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3588725441280).

2225284967360 is an abundant number, since it is smaller than the sum of its proper divisors (4952165915200).

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

2225284967360 is a wasteful number, since it uses less digits than its factorization.

2225284967360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7705 (or 7672 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 56.

The spelling of 2225284967360 in words is "two trillion, two hundred twenty-five billion, two hundred eighty-four million, nine hundred sixty-seven thousand, three hundred sixty".