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2559195980 = 2251121762207
BaseRepresentation
bin1001100010001010…
…0011101101001100
320121100120121220022
42120202203231030
520220123232410
61101540241312
7120263543525
oct23042435514
96540517808
102559195980
1110a3665900
125b50a0238
1331a287463
141a3c5d84c
15eea20455
hex988a3b4c

2559195980 has 72 divisors (see below), whose sum is σ = 6254889984. Its totient is φ = 875860480.

The previous prime is 2559195953. The next prime is 2559196033. The reversal of 2559195980 is 895919552.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10037 + ... + 72243.

It is an arithmetic number, because the mean of its divisors is an integer number (86873472).

Almost surely, 22559195980 is an apocalyptic number.

2559195980 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 2559195980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3127444992).

2559195980 is an abundant number, since it is smaller than the sum of its proper divisors (3695694004).

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

2559195980 is a wasteful number, since it uses less digits than its factorization.

2559195980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62255 (or 62242 counting only the distinct ones).

The product of its (nonzero) digits is 1458000, while the sum is 53.

The square root of 2559195980 is about 50588.4965184774. The cubic root of 2559195980 is about 1367.8375282977.

The spelling of 2559195980 in words is "two billion, five hundred fifty-nine million, one hundred ninety-five thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 11 17 20 22 34 44 55 68 85 110 121 170 187 220 242 340 374 484 605 748 935 1210 1870 2057 2420 3740 4114 8228 10285 20570 41140 62207 124414 248828 311035 622070 684277 1057519 1244140 1368554 2115038 2737108 3421385 4230076 5287595 6842770 7527047 10575190 11632709 13685540 15054094 21150380 23265418 30108188 37635235 46530836 58163545 75270470 116327090 127959799 150540940 232654180 255919598 511839196 639798995 1279597990 2559195980