2241577584512 has 128 divisors (see below), whose sum is σ = 5260007808000. Its totient is φ = 931608262656.

The previous prime is 2241577584487. The next prime is 2241577584599. The reversal of 2241577584512 is 2154857751422.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4346039 + ... + 4834377.

It is an arithmetic number, because the mean of its divisors is an integer number (41093811000).

Almost surely, 2^{2241577584512} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2241577584512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2630003904000).

2241577584512 is an abundant number, since it is smaller than the sum of its proper divisors (3018430223488).

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

2241577584512 is a wasteful number, since it uses less digits than its factorization.

2241577584512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 488516 (or 488504 counting only the distinct ones).

The product of its digits is 6272000, while the sum is 53.

The spelling of 2241577584512 in words is "two trillion, two hundred forty-one billion, five hundred seventy-seven million, five hundred eighty-four thousand, five hundred twelve".