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2490241000 = 235313223859
BaseRepresentation
bin1001010001101110…
…0000111111101000
320102112211100110011
42110123200333220
520100000203000
61051034301304
7115465461562
oct22433407750
96375740404
102490241000
111068748a15
12595b87834
13308bc34b0
14198a30332
15e894e2ba
hex946e0fe8

2490241000 has 128 divisors (see below), whose sum is σ = 6310886400. Its totient is φ = 914284800.

The previous prime is 2490240959. The next prime is 2490241009. The reversal of 2490241000 is 1420942.

2490241000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (2490241009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2898571 + ... + 2899429.

It is an arithmetic number, because the mean of its divisors is an integer number (49303800).

Almost surely, 22490241000 is an apocalyptic number.

2490241000 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 2490241000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3155443200).

2490241000 is an abundant number, since it is smaller than the sum of its proper divisors (3820645400).

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

2490241000 is a wasteful number, since it uses less digits than its factorization.

2490241000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1116 (or 1102 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 2490241000 is about 49902.3145755786. The cubic root of 2490241000 is about 1355.4405052803.

Adding to 2490241000 its reverse (1420942), we get a palindrome (2491661942).

The spelling of 2490241000 in words is "two billion, four hundred ninety million, two hundred forty-one thousand".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 125 130 200 223 250 260 325 446 500 520 650 859 892 1000 1115 1300 1625 1718 1784 2230 2600 2899 3250 3436 4295 4460 5575 5798 6500 6872 8590 8920 11150 11167 11596 13000 14495 17180 21475 22300 22334 23192 27875 28990 34360 42950 44600 44668 55750 55835 57980 72475 85900 89336 107375 111500 111670 115960 144950 171800 191557 214750 223000 223340 279175 289900 362375 383114 429500 446680 558350 579800 724750 766228 859000 957785 1116700 1395875 1449500 1532456 1915570 2233400 2490241 2791750 2899000 3831140 4788925 4980482 5583500 7662280 9577850 9960964 11167000 12451205 19155700 19921928 23944625 24902410 38311400 47889250 49804820 62256025 95778500 99609640 124512050 191557000 249024100 311280125 498048200 622560250 1245120500 2490241000