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2442331540 = 2251111101507
BaseRepresentation
bin1001000110010011…
…0000010110010100
320022012200022000201
42101210300112110
520000214102130
61042203350244
7114344322055
oct22144602624
96265608021
102442331540
1110436a5920
12581b22384
132cbcba7bc
1419251c72c
15e4638bca
hex91930594

2442331540 has 24 divisors (see below), whose sum is σ = 5595160032. Its totient is φ = 888120480.

The previous prime is 2442331519. The next prime is 2442331543. The reversal of 2442331540 is 451332442.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2442331499 and 2442331508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2442331543) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5550534 + ... + 5550973.

It is an arithmetic number, because the mean of its divisors is an integer number (233131668).

Almost surely, 22442331540 is an apocalyptic number.

2442331540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2442331540 is an abundant number, since it is smaller than the sum of its proper divisors (3152828492).

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

2442331540 is a wasteful number, since it uses less digits than its factorization.

2442331540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11101527 (or 11101525 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 28.

The square root of 2442331540 is about 49419.9508295992. The cubic root of 2442331540 is about 1346.6917698106.

Adding to 2442331540 its reverse (451332442), we get a palindrome (2893663982).

The spelling of 2442331540 in words is "two billion, four hundred forty-two million, three hundred thirty-one thousand, five hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 11101507 22203014 44406028 55507535 111015070 122116577 222030140 244233154 488466308 610582885 1221165770 2442331540