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2490628000 = 2553788951
BaseRepresentation
bin1001010001110011…
…1111011110100000
320102120120000022111
42110130333132200
520100100044000
61051050445104
7115501663060
oct22434773640
96376500274
102490628000
111068992753
12596133794
13308cca6a3
14198ad13a0
15e89c8cba
hex9473f7a0

2490628000 has 96 divisors (see below), whose sum is σ = 6993762048. Its totient is φ = 853920000.

The previous prime is 2490627989. The next prime is 2490628003. The reversal of 2490628000 is 8260942.

It is not an unprimeable number, because it can be changed into a prime (2490628003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16476 + ... + 72475.

It is an arithmetic number, because the mean of its divisors is an integer number (72851688).

Almost surely, 22490628000 is an apocalyptic number.

2490628000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2490628000 is an abundant number, since it is smaller than the sum of its proper divisors (4503134048).

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

2490628000 is an equidigital number, since it uses as much as digits as its factorization.

2490628000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88983 (or 88965 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The square root of 2490628000 is about 49906.1920005925. The cubic root of 2490628000 is about 1355.5107164640.

Adding to 2490628000 its reverse (8260942), we get a palindrome (2498888942).

The spelling of 2490628000 in words is "two billion, four hundred ninety million, six hundred twenty-eight thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 70 80 100 112 125 140 160 175 200 224 250 280 350 400 500 560 700 800 875 1000 1120 1400 1750 2000 2800 3500 4000 5600 7000 14000 28000 88951 177902 355804 444755 622657 711608 889510 1245314 1423216 1779020 2223775 2490628 2846432 3113285 3558040 4447550 4981256 6226570 7116080 8895100 9962512 11118875 12453140 14232160 15566425 17790200 19925024 22237750 24906280 31132850 35580400 44475500 49812560 62265700 71160800 77832125 88951000 99625120 124531400 155664250 177902000 249062800 311328500 355804000 498125600 622657000 1245314000 2490628000