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2481684480 = 2153451117
BaseRepresentation
bin1001001111101011…
…1000000000000000
320101221201122010000
42103322320000000
520040302400410
61050131040000
7115332653502
oct22372700000
96357648100
102481684480
111063934310
12593140000
133071b8972
14197843d72
15e7d0ddc0
hex93eb8000

2481684480 has 640 divisors, whose sum is σ = 10276936560. Its totient is φ = 566231040.

The previous prime is 2481684473. The next prime is 2481684493. The reversal of 2481684480 is 844861842.

2481684480 is a `hidden beast` number, since 2 + 4 + 8 + 168 + 4 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 39 ways as a sum of consecutive naturals, for example, 145981432 + ... + 145981448.

Almost surely, 22481684480 is an apocalyptic number.

2481684480 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 2481684480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5138468280).

2481684480 is an abundant number, since it is smaller than the sum of its proper divisors (7795252080).

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

2481684480 is an equidigital number, since it uses as much as digits as its factorization.

2481684480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 45.

The square root of 2481684480 is about 49816.5081072530. The cubic root of 2481684480 is about 1353.8862831928.

The spelling of 2481684480 in words is "two billion, four hundred eighty-one million, six hundred eighty-four thousand, four hundred eighty".