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2482698240 = 211325113179
BaseRepresentation
bin1001001111111010…
…1111100000000000
320102000122010201200
42103332233200000
520041032320430
61050204501200
7115344405201
oct22376574000
96360563650
102482698240
111064466a30
1259354a800
13307482219
14197a295a8
15e7e5e460
hex93faf800

2482698240 has 576 divisors, whose sum is σ = 9812275200. Its totient is φ = 575078400.

The previous prime is 2482698227. The next prime is 2482698277. The reversal of 2482698240 is 428962842.

It is a tau number, because it is divible by the number of its divisors (576).

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31426521 + ... + 31426599.

It is an arithmetic number, because the mean of its divisors is an integer number (17035200).

Almost surely, 22482698240 is an apocalyptic number.

2482698240 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 2482698240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4906137600).

2482698240 is an abundant number, since it is smaller than the sum of its proper divisors (7329576960).

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

2482698240 is a wasteful number, since it uses less digits than its factorization.

2482698240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The square root of 2482698240 is about 49826.6820087391. The cubic root of 2482698240 is about 1354.0706108034.

The spelling of 2482698240 in words is "two billion, four hundred eighty-two million, six hundred ninety-eight thousand, two hundred forty".