2265743042000 has 80 divisors (see below), whose sum is σ = 5479062747600. Its totient is φ = 906215155200.

The previous prime is 2265743041963. The next prime is 2265743042047. The reversal of 2265743042000 is 2403475622.

It can be written as a sum of positive squares in 8 ways, for example, as 1634582706064 + 631160335936 = 1278508^2 + 794456^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25133006 + ... + 25222994.

It is an arithmetic number, because the mean of its divisors is an integer number (68488284345).

Almost surely, 2^{2265743042000} is an apocalyptic number.

2265743042000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2265743042000 is an abundant number, since it is smaller than the sum of its proper divisors (3213319705600).

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

2265743042000 is a wasteful number, since it uses less digits than its factorization.

2265743042000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102601 (or 102585 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 35.

The spelling of 2265743042000 in words is "two trillion, two hundred sixty-five billion, seven hundred forty-three million, forty-two thousand".