2842442331456 has 224 divisors, whose sum is σ = 9312953939968. Its totient is φ = 745055262720.

The previous prime is 2842442331431. The next prime is 2842442331467. The reversal of 2842442331456 is 6541332442482.

2842442331456 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 (224).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2348901 + ... + 3346971.

It is an arithmetic number, because the mean of its divisors is an integer number (41575687232).

Almost surely, 2^{2842442331456} is an apocalyptic number.

2842442331456 is a gapful number since it is divisible by the number (26) 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 2842442331456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4656476969984).

2842442331456 is an abundant number, since it is smaller than the sum of its proper divisors (6470511608512).

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

2842442331456 is a wasteful number, since it uses less digits than its factorization.

2842442331456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 998269 (or 998259 counting only the distinct ones).

The product of its digits is 4423680, while the sum is 48.

The spelling of 2842442331456 in words is "two trillion, eight hundred forty-two billion, four hundred forty-two million, three hundred thirty-one thousand, four hundred fifty-six".