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2042021324 = 227433734547
BaseRepresentation
bin111100110110110…
…1100010111001100
312021022102102122102
41321231230113030
513140224140244
6534343334232
7101413615640
oct17155542714
95238372572
102042021324
11958738932
1248ba51378
1326709ac55
141552b6c20
15be41354e
hex79b6c5cc

2042021324 has 48 divisors (see below), whose sum is σ = 4191145728. Its totient is φ = 852320448.

The previous prime is 2042021323. The next prime is 2042021327. The reversal of 2042021324 is 4231202402.

It is a junction number, because it is equal to n+sod(n) for n = 2042021296 and 2042021305.

It is not an unprimeable number, because it can be changed into a prime (2042021323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 446819 + ... + 451365.

It is an arithmetic number, because the mean of its divisors is an integer number (87315536).

Almost surely, 22042021324 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2042021324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2095572864).

2042021324 is an abundant number, since it is smaller than the sum of its proper divisors (2149124404).

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

2042021324 is a wasteful number, since it uses less digits than its factorization.

2042021324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4974 (or 4972 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 2042021324 is about 45188.7300551808. The cubic root of 2042021324 is about 1268.6838875692.

Adding to 2042021324 its reverse (4231202402), we get a palindrome (6273223726).

The spelling of 2042021324 in words is "two billion, forty-two million, twenty-one thousand, three hundred twenty-four".

Divisors: 1 2 4 7 14 28 43 86 172 301 373 602 746 1204 1492 2611 4547 5222 9094 10444 16039 18188 31829 32078 63658 64156 112273 127316 195521 224546 391042 449092 782084 1368647 1696031 2737294 3392062 5474588 6784124 11872217 23744434 47488868 72929333 145858666 291717332 510505331 1021010662 2042021324