Search a number
-
+
2480389724160 = 21138536919
BaseRepresentation
bin100100000110000010101…
…111111001100000000000
322210010022121212100000000
4210012002233321200000
5311114314232133120
65135250400000000
7344126240533515
oct44060257714000
98703277770000
102480389724160
11876a22376847
12340871600000
1314cb9098b81a
14880a147930c
15447c21c8990
hex24182bf9800

2480389724160 has 432 divisors, whose sum is σ = 8927011220400. Its totient is φ = 661419343872.

The previous prime is 2480389724081. The next prime is 2480389724167. The reversal of 2480389724160 is 614279830842.

2480389724160 is a `hidden beast` number, since 2 + 4 + 80 + 3 + 89 + 72 + 416 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is a junction number, because it is equal to n+sod(n) for n = 2480389724097 and 2480389724106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2480389724167) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 67166181 + ... + 67203099.

It is an arithmetic number, because the mean of its divisors is an integer number (20664377825).

Almost surely, 22480389724160 is an apocalyptic number.

2480389724160 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 2480389724160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4463505610200).

2480389724160 is an abundant number, since it is smaller than the sum of its proper divisors (6446621496240).

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

2480389724160 is an frugal number, since it uses more digits than its factorization.

2480389724160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36970 (or 36929 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 2480389724160 in words is "two trillion, four hundred eighty billion, three hundred eighty-nine million, seven hundred twenty-four thousand, one hundred sixty".