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2842980612480 = 27345131418637
BaseRepresentation
bin101001010111101110110…
…110010111100110000000
3101001210020012120221010000
4221113232312113212000
5333034411014044410
610014014113040000
7412253465325141
oct51275666274600
911053205527100
102842980612480
119a6779491918
1239aba4556000
13178126c4a108
149b85b1bdac8
154de447badc0
hex295eed97980

2842980612480 has 320 divisors, whose sum is σ = 10230323788080. Its totient is φ = 752339128320.

The previous prime is 2842980612449. The next prime is 2842980612499. The reversal of 2842980612480 is 842160892482.

2842980612480 is a `hidden beast` number, since 2 + 8 + 4 + 29 + 80 + 61 + 2 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6581722 + ... + 7000358.

Almost surely, 22842980612480 is an apocalyptic number.

2842980612480 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 2842980612480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5115161894040).

2842980612480 is an abundant number, since it is smaller than the sum of its proper divisors (7387343175600).

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

2842980612480 is a wasteful number, since it uses less digits than its factorization.

2842980612480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418799 (or 418778 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 54.

The spelling of 2842980612480 in words is "two trillion, eight hundred forty-two billion, nine hundred eighty million, six hundred twelve thousand, four hundred eighty".