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2482159680 = 2633572111341
BaseRepresentation
bin1001001111110010…
…1100000001000000
320101222121202222000
42103330230001000
520040413102210
61050145144000
7115340003100
oct22374540100
96358552860
102482159680
111064129340
1259332b000
13307324050
14197929200
15e7da4ac0
hex93f2c040

2482159680 has 1344 divisors, whose sum is σ = 12258812160. Its totient is φ = 464486400.

The previous prime is 2482159661. The next prime is 2482159699. The reversal of 2482159680 is 869512842.

2482159680 is a `hidden beast` number, since 2 + 482 + 1 + 5 + 96 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (2482159661) and next prime (2482159699).

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×24821596802 = 12322233354035404800, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 60540460 + ... + 60540500.

It is an arithmetic number, because the mean of its divisors is an integer number (9121140).

Almost surely, 22482159680 is an apocalyptic number.

2482159680 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 2482159680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6129406080).

2482159680 is an abundant number, since it is smaller than the sum of its proper divisors (9776652480).

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

2482159680 is a wasteful number, since it uses less digits than its factorization.

2482159680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 2482159680 is about 49821.2773822591. The cubic root of 2482159680 is about 1353.9726930093.

The spelling of 2482159680 in words is "two billion, four hundred eighty-two million, one hundred fifty-nine thousand, six hundred eighty".