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2442854307840 = 211351921811217
BaseRepresentation
bin100011100011000101011…
…101101001100000000000
322122112102201100121201120
4203203011131221200000
5310010431200322330
65110122021432240
7341330131004052
oct43430535514000
98575381317646
102442854307840
11862010631a21
12335536b6b680
1314948b3b82cb
148634033d8d2
1543826c73c10
hex238c5769800

2442854307840 has 576 divisors, whose sum is σ = 8300586883680. Its totient is φ = 613228216320.

The previous prime is 2442854307811. The next prime is 2442854307841. The reversal of 2442854307840 is 487034582442.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2442854307841) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2007274912 + ... + 2007276128.

Almost surely, 22442854307840 is an apocalyptic number.

2442854307840 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 2442854307840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4150293441840).

2442854307840 is an abundant number, since it is smaller than the sum of its proper divisors (5857732575840).

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

2442854307840 is a wasteful number, since it uses less digits than its factorization.

2442854307840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1466 (or 1427 counting only the distinct ones).

The product of its (nonzero) digits is 6881280, while the sum is 51.

The spelling of 2442854307840 in words is "two trillion, four hundred forty-two billion, eight hundred fifty-four million, three hundred seven thousand, eight hundred forty".