2454354241344 has 42 divisors (see below), whose sum is σ = 7034963287170. Its totient is φ = 818118080256.

The previous prime is 2454354241337. The next prime is 2454354241393. The reversal of 2454354241344 is 4431424534542.

2454354241344 is a `hidden beast` number, since 2 + 4 + 54 + 3 + 542 + 4 + 13 + 44 = 666.

2454354241344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 1259530354944 + 1194823886400 = 1122288^2 + 1093080^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2454354241344.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2130515259 + ... + 2130516410.

It is an arithmetic number, because the mean of its divisors is an integer number (167499125885).

Almost surely, 2^{2454354241344} is an apocalyptic number.

2454354241344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2454354241344 is an abundant number, since it is smaller than the sum of its proper divisors (4580609045826).

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

2454354241344 is a wasteful number, since it uses less digits than its factorization.

2454354241344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4261031687 (or 4261031674 counting only the distinct ones).

The product of its digits is 3686400, while the sum is 45.

Adding to 2454354241344 its reverse (4431424534542), we get a palindrome (6885778775886).

The spelling of 2454354241344 in words is "two trillion, four hundred fifty-four billion, three hundred fifty-four million, two hundred forty-one thousand, three hundred forty-four".