Search a number
-
+
2466898560 = 273257175961
BaseRepresentation
bin1001001100001001…
…1110001010000000
320100220220102122100
42103002132022000
520023011223220
61044442110400
7115063202040
oct22302361200
96326812570
102466898560
111056555445
1258a1ab400
1330410c8b9
141958b5720
15e688cd90
hex9309e280

2466898560 has 768 divisors, whose sum is σ = 10654675200. Its totient is φ = 513146880.

The previous prime is 2466898549. The next prime is 2466898631. The reversal of 2466898560 is 658986642.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2466898497 and 2466898506.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 40440930 + ... + 40440990.

It is an arithmetic number, because the mean of its divisors is an integer number (13873275).

Almost surely, 22466898560 is an apocalyptic number.

2466898560 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 2466898560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5327337600).

2466898560 is an abundant number, since it is smaller than the sum of its proper divisors (8187776640).

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

2466898560 is a wasteful number, since it uses less digits than its factorization.

2466898560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The square root of 2466898560 is about 49667.8825801946. The cubic root of 2466898560 is about 1351.1920992863.

The spelling of 2466898560 in words is "two billion, four hundred sixty-six million, eight hundred ninety-eight thousand, five hundred sixty".