2241465605568 has 252 divisors, whose sum is σ = 7547702869512. Its totient is φ = 634077158400.

The previous prime is 2241465605539. The next prime is 2241465605573. The reversal of 2241465605568 is 8655065641422.

2241465605568 is a `hidden beast` number, since 2 + 2 + 4 + 14 + 6 + 5 + 60 + 5 + 568 = 666.

It is a tau number, because it is divible by the number of its divisors (252).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2457471 + ... + 3243777.

Almost surely, 2^{2241465605568} is an apocalyptic number.

2241465605568 is a gapful number since it is divisible by the number (28) 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 2241465605568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3773851434756).

2241465605568 is an abundant number, since it is smaller than the sum of its proper divisors (5306237263944).

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

2241465605568 is a wasteful number, since it uses less digits than its factorization.

2241465605568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 786440 (or 786420 counting only the distinct ones).

The product of its (nonzero) digits is 13824000, while the sum is 54.

The spelling of 2241465605568 in words is "two trillion, two hundred forty-one billion, four hundred sixty-five million, six hundred five thousand, five hundred sixty-eight".