2241086402240 has 112 divisors (see below), whose sum is σ = 6102647395392. Its totient is φ = 767907495936.

The previous prime is 2241086402227. The next prime is 2241086402263. The reversal of 2241086402240 is 422046801422.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 2241086402240.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3409784 + ... + 4013576.

Almost surely, 2^{2241086402240} is an apocalyptic number.

2241086402240 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 2241086402240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3051323697696).

2241086402240 is an abundant number, since it is smaller than the sum of its proper divisors (3861560993152).

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

2241086402240 is a wasteful number, since it uses less digits than its factorization.

2241086402240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 605474 (or 605464 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 35.

The spelling of 2241086402240 in words is "two trillion, two hundred forty-one billion, eighty-six million, four hundred two thousand, two hundred forty".