2241643566240 has 144 divisors (see below), whose sum is σ = 8238040174728. Its totient is φ = 551789180928.

The previous prime is 2241643566229. The next prime is 2241643566247. The reversal of 2241643566240 is 426653461422.

It is a happy number.

2241643566240 is a `hidden beast` number, since 2 + 2 + 4 + 1 + 6 + 43 + 566 + 2 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1689303271824 + 552340294416 = 1299732^2 + 743196^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (2241643566247) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 59854239 + ... + 59891678.

Almost surely, 2^{2241643566240} is an apocalyptic number.

2241643566240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2241643566240 is an abundant number, since it is smaller than the sum of its proper divisors (5996396608488).

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

2241643566240 is a wasteful number, since it uses less digits than its factorization.

2241643566240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119745951 (or 119745940 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 45.

The spelling of 2241643566240 in words is "two trillion, two hundred forty-one billion, six hundred forty-three million, five hundred sixty-six thousand, two hundred forty".