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2442002020 = 225612001641
BaseRepresentation
bin1001000110001101…
…1111111001100100
320022012001120000021
42101203133321210
520000123031040
61042152324524
7114341450263
oct22143377144
96265046007
102442002020
1110434a0297
125819a3744
132cbc03813
141924745da
15e45c124a
hex918dfe64

2442002020 has 24 divisors (see below), whose sum is σ = 5212275768. Its totient is φ = 960787200.

The previous prime is 2442002011. The next prime is 2442002053. The reversal of 2442002020 is 202002442.

It can be written as a sum of positive squares in 4 ways, for example, as 7171684 + 2434830336 = 2678^2 + 49344^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2442001985 and 2442002003.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 999601 + ... + 1002040.

It is an arithmetic number, because the mean of its divisors is an integer number (217178157).

Almost surely, 22442002020 is an apocalyptic number.

2442002020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2442002020 is an abundant number, since it is smaller than the sum of its proper divisors (2770273748).

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

2442002020 is a wasteful number, since it uses less digits than its factorization.

2442002020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2001711 (or 2001709 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

The square root of 2442002020 is about 49416.6168408967. The cubic root of 2442002020 is about 1346.6312017531.

Adding to 2442002020 its reverse (202002442), we get a palindrome (2644004462).

The spelling of 2442002020 in words is "two billion, four hundred forty-two million, two thousand, twenty".

Divisors: 1 2 4 5 10 20 61 122 244 305 610 1220 2001641 4003282 8006564 10008205 20016410 40032820 122100101 244200202 488400404 610500505 1221001010 2442002020