2224534287360 has 2816 divisors, whose sum is σ = 10040486658048. Its totient is φ = 406270771200.

The previous prime is 2224534287319. The next prime is 2224534287401. The reversal of 2224534287360 is 637824354222.

It is an interprime number because it is at equal distance from previous prime (2224534287319) and next prime (2224534287401).

It is a tau number, because it is divible by the number of its divisors (2816).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 26801617879 + ... + 26801617961.

It is an arithmetic number, because the mean of its divisors is an integer number (3565513728).

Almost surely, 2^{2224534287360} is an apocalyptic number.

2224534287360 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 2224534287360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5020243329024).

2224534287360 is an abundant number, since it is smaller than the sum of its proper divisors (7815952370688).

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

2224534287360 is a wasteful number, since it uses less digits than its factorization.

2224534287360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 48.

The spelling of 2224534287360 in words is "two trillion, two hundred twenty-four billion, five hundred thirty-four million, two hundred eighty-seven thousand, three hundred sixty".