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2484740000 = 2554283439
BaseRepresentation
bin1001010000011010…
…0001111110100000
320102011110212111102
42110012201332200
520042043140000
61050320333532
7115400640641
oct22406417640
96364425442
102484740000
111065630a36
125941742a8
13307a18672
14197ddb6c8
15e82143d5
hex941a1fa0

2484740000 has 120 divisors (see below), whose sum is σ = 6148406880. Its totient is φ = 988128000.

The previous prime is 2484739987. The next prime is 2484740017. The reversal of 2484740000 is 474842.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5659781 + ... + 5660219.

It is an arithmetic number, because the mean of its divisors is an integer number (51236724).

Almost surely, 22484740000 is an apocalyptic number.

2484740000 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 2484740000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3074203440).

2484740000 is an abundant number, since it is smaller than the sum of its proper divisors (3663666880).

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

2484740000 is an equidigital number, since it uses as much as digits as its factorization.

2484740000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 752 (or 729 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 29.

The square root of 2484740000 is about 49847.1664189651. The cubic root of 2484740000 is about 1354.4417029782.

The spelling of 2484740000 in words is "two billion, four hundred eighty-four million, seven hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 283 400 439 500 566 625 800 878 1000 1132 1250 1415 1756 2000 2195 2264 2500 2830 3512 4000 4390 4528 5000 5660 7024 7075 8780 9056 10000 10975 11320 14048 14150 17560 20000 21950 22640 28300 35120 35375 43900 45280 54875 56600 70240 70750 87800 109750 113200 124237 141500 175600 176875 219500 226400 248474 274375 283000 351200 353750 439000 496948 548750 566000 621185 707500 878000 993896 1097500 1132000 1242370 1415000 1756000 1987792 2195000 2484740 2830000 3105925 3975584 4390000 4969480 5660000 6211850 8780000 9938960 12423700 15529625 19877920 24847400 31059250 49694800 62118500 77648125 99389600 124237000 155296250 248474000 310592500 496948000 621185000 1242370000 2484740000