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2442240040 = 235432515657
BaseRepresentation
bin1001000110010001…
…1010000000101000
320022012111122111211
42101210122000220
520000203140130
61042201402504
7114343461232
oct22144320050
96265448454
102442240040
1110436430a9
12581a99434
132cbc87c66
141924d7252
15e461ba2a
hex9191a028

2442240040 has 64 divisors (see below), whose sum is σ = 5646231360. Its totient is φ = 950208000.

The previous prime is 2442240013. The next prime is 2442240067. The reversal of 2442240040 is 400422442.

It is an interprime number because it is at equal distance from previous prime (2442240013) and next prime (2442240067).

It is a junction number, because it is equal to n+sod(n) for n = 2442239993 and 2442240020.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 428892 + ... + 434548.

It is an arithmetic number, because the mean of its divisors is an integer number (88222365).

Almost surely, 22442240040 is an apocalyptic number.

2442240040 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 2442240040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2823115680).

2442240040 is an abundant number, since it is smaller than the sum of its proper divisors (3203991320).

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

2442240040 is a wasteful number, since it uses less digits than its factorization.

2442240040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5962 (or 5958 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 22.

The square root of 2442240040 is about 49419.0250814400. The cubic root of 2442240040 is about 1346.6749520234.

Adding to 2442240040 its reverse (400422442), we get a palindrome (2842662482).

The spelling of 2442240040 in words is "two billion, four hundred forty-two million, two hundred forty thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 43 86 172 215 251 344 430 502 860 1004 1255 1720 2008 2510 5020 5657 10040 10793 11314 21586 22628 28285 43172 45256 53965 56570 86344 107930 113140 215860 226280 243251 431720 486502 973004 1216255 1419907 1946008 2432510 2839814 4865020 5679628 7099535 9730040 11359256 14199070 28398140 56796280 61056001 122112002 244224004 305280005 488448008 610560010 1221120020 2442240040