2743205442432 has 128 divisors (see below), whose sum is σ = 8968171752960. Its totient is φ = 723482744832.

The previous prime is 2743205442377. The next prime is 2743205442437. The reversal of 2743205442432 is 2342445023472.

2743205442432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2743205442437) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39216508 + ... + 39286395.

It is an arithmetic number, because the mean of its divisors is an integer number (70063841820).

Almost surely, 2^{2743205442432} is an apocalyptic number.

It is an amenable number.

2743205442432 is an abundant number, since it is smaller than the sum of its proper divisors (6224966310528).

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

2743205442432 is a wasteful number, since it uses less digits than its factorization.

2743205442432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78502940 (or 78502928 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 42.

The spelling of 2743205442432 in words is "two trillion, seven hundred forty-three billion, two hundred five million, four hundred forty-two thousand, four hundred thirty-two".