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2481516080 = 245299711027
BaseRepresentation
bin1001001111101000…
…1110111000110000
320101221102002002222
42103322032320300
520040232003310
61050123300212
7115331352521
oct22372167060
96357362088
102481516080
11106382983a
1259307a668
1330715a114
141977dc848
15e7cc9055
hex93e8ee30

2481516080 has 80 divisors (see below), whose sum is σ = 6030551520. Its totient is φ = 948412416.

The previous prime is 2481516049. The next prime is 2481516133. The reversal of 2481516080 is 806151842.

2481516080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 2481516080.

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, 219527 + ... + 230553.

It is an arithmetic number, because the mean of its divisors is an integer number (75381894).

Almost surely, 22481516080 is an apocalyptic number.

2481516080 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 2481516080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3015275760).

2481516080 is an abundant number, since it is smaller than the sum of its proper divisors (3549035440).

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

2481516080 is a wasteful number, since it uses less digits than its factorization.

2481516080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11166 (or 11160 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 35.

The square root of 2481516080 is about 49814.8178758088. The cubic root of 2481516080 is about 1353.8556588851.

The spelling of 2481516080 in words is "two billion, four hundred eighty-one million, five hundred sixteen thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 29 40 58 80 97 116 145 194 232 290 388 464 485 580 776 970 1160 1552 1940 2320 2813 3880 5626 7760 11027 11252 14065 22054 22504 28130 44108 45008 55135 56260 88216 110270 112520 176432 220540 225040 319783 441080 639566 882160 1069619 1279132 1598915 2139238 2558264 3197830 4278476 5116528 5348095 6395660 8556952 10696190 12791320 17113904 21392380 25582640 31018951 42784760 62037902 85569520 124075804 155094755 248151608 310189510 496303216 620379020 1240758040 2481516080