2241725301648 has 1200 divisors, whose sum is σ = 8323489405440. Its totient is φ = 578459750400.

The previous prime is 2241725301479. The next prime is 2241725301691. The reversal of 2241725301648 is 8461035271422.

2241725301648 is a `hidden beast` number, since 2 + 2 + 4 + 1 + 72 + 530 + 1 + 6 + 48 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 2730481078 + ... + 2730481898.

Almost surely, 2^{2241725301648} is an apocalyptic number.

2241725301648 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 2241725301648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4161744702720).

2241725301648 is an abundant number, since it is smaller than the sum of its proper divisors (6081764103792).

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

2241725301648 is a wasteful number, since it uses less digits than its factorization.

2241725301648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 978 (or 956 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 2241725301648 in words is "two trillion, two hundred forty-one billion, seven hundred twenty-five million, three hundred one thousand, six hundred forty-eight".