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2442070020 = 2235135096151
BaseRepresentation
bin1001000110001111…
…0000100000000100
320022012012000021210
42101203300200010
520000132220040
61042154011420
7114342152445
oct22143604004
96265160253
102442070020
111043537395
12581a16b70
132cbc28760
141924912cc
15e45d6480
hex918f0804

2442070020 has 96 divisors (see below), whose sum is σ = 7379447040. Its totient is φ = 599846400.

The previous prime is 2442069997. The next prime is 2442070027. The reversal of 2442070020 is 200702442.

It is not an unprimeable number, because it can be changed into a prime (2442070027) 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, 393945 + ... + 400095.

It is an arithmetic number, because the mean of its divisors is an integer number (76869240).

Almost surely, 22442070020 is an apocalyptic number.

2442070020 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 2442070020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3689723520).

2442070020 is an abundant number, since it is smaller than the sum of its proper divisors (4937377020).

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

2442070020 is a wasteful number, since it uses less digits than its factorization.

2442070020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6685 (or 6683 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 21.

The square root of 2442070020 is about 49417.3048637823. The cubic root of 2442070020 is about 1346.6437010701.

Adding to 2442070020 its reverse (200702442), we get a palindrome (2642772462).

The spelling of 2442070020 in words is "two billion, four hundred forty-two million, seventy thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 509 780 1018 1527 2036 2545 3054 5090 6108 6151 6617 7635 10180 12302 13234 15270 18453 19851 24604 26468 30540 30755 33085 36906 39702 61510 66170 73812 79404 79963 92265 99255 123020 132340 159926 184530 198510 239889 319852 369060 397020 399815 479778 799630 959556 1199445 1599260 2398890 3130859 4797780 6261718 9392577 12523436 15654295 18785154 31308590 37570308 40701167 46962885 62617180 81402334 93925770 122103501 162804668 187851540 203505835 244207002 407011670 488414004 610517505 814023340 1221035010 2442070020