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2442520000 = 2654227269
BaseRepresentation
bin1001000110010101…
…1110010111000000
320022020000212112201
42101211132113000
520000241120000
61042211402544
7114346035364
oct22145362700
96266025481
102442520000
111043814478
12581bb3454
132cc05550b
1419256b2a4
15e467496a
hex9195e5c0

2442520000 has 140 divisors (see below), whose sum is σ = 6105951720. Its totient is φ = 969088000.

The previous prime is 2442519949. The next prime is 2442520001. The reversal of 2442520000 is 252442.

It is a self number, because there is not a number n which added to its sum of digits gives 2442520000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2442520001) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 9079866 + ... + 9080134.

Almost surely, 22442520000 is an apocalyptic number.

2442520000 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 2442520000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3052975860).

2442520000 is an abundant number, since it is smaller than the sum of its proper divisors (3663431720).

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

2442520000 is an equidigital number, since it uses as much as digits as its factorization.

2442520000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 528 (or 503 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 19.

The square root of 2442520000 is about 49421.8575126431. The cubic root of 2442520000 is about 1346.7264076145.

Adding to 2442520000 its reverse (252442), we get a palindrome (2442772442).

The spelling of 2442520000 in words is "two billion, four hundred forty-two million, five hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 227 250 269 320 400 454 500 538 625 800 908 1000 1076 1135 1250 1345 1600 1816 2000 2152 2270 2500 2690 3632 4000 4304 4540 5000 5380 5675 6725 7264 8000 8608 9080 10000 10760 11350 13450 14528 17216 18160 20000 21520 22700 26900 28375 33625 36320 40000 43040 45400 53800 56750 61063 67250 72640 86080 90800 107600 113500 122126 134500 141875 168125 181600 215200 227000 244252 269000 283750 305315 336250 363200 430400 454000 488504 538000 567500 610630 672500 908000 977008 1076000 1135000 1221260 1345000 1526575 1816000 1954016 2152000 2270000 2442520 2690000 3053150 3908032 4540000 4885040 5380000 6106300 7632875 9080000 9770080 10760000 12212600 15265750 19540160 24425200 30531500 38164375 48850400 61063000 76328750 97700800 122126000 152657500 244252000 305315000 488504000 610630000 1221260000 2442520000