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2541146060 = 2251743732381
BaseRepresentation
bin1001011101110110…
…1100111111001100
320120002121121001202
42113131230333030
520201013133220
61100053325032
7116654246045
oct22735547714
96502547052
102541146060
111094457712
125ab036778
1331660782b
141a16c18cc
15ed157275
hex9776cfcc

2541146060 has 96 divisors (see below), whose sum is σ = 5863378752. Its totient is φ = 921231360.

The previous prime is 2541146059. The next prime is 2541146081. The reversal of 2541146060 is 606411452.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1066070 + ... + 1068450.

It is an arithmetic number, because the mean of its divisors is an integer number (61076862).

Almost surely, 22541146060 is an apocalyptic number.

2541146060 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 2541146060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2931689376).

2541146060 is an abundant number, since it is smaller than the sum of its proper divisors (3322232692).

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

2541146060 is a wasteful number, since it uses less digits than its factorization.

2541146060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2523 (or 2521 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 29.

The square root of 2541146060 is about 50409.7813921068. The cubic root of 2541146060 is about 1364.6141681673.

The spelling of 2541146060 in words is "two billion, five hundred forty-one million, one hundred forty-six thousand, sixty".

Divisors: 1 2 4 5 10 17 20 34 43 68 73 85 86 146 170 172 215 292 340 365 430 730 731 860 1241 1460 1462 2381 2482 2924 3139 3655 4762 4964 6205 6278 7310 9524 11905 12410 12556 14620 15695 23810 24820 31390 40477 47620 53363 62780 80954 102383 106726 161908 173813 202385 204766 213452 266815 347626 404770 409532 511915 533630 695252 809540 869065 1023830 1067260 1738130 1740511 2047660 2954821 3476260 3481022 5909642 6962044 7473959 8702555 11819284 14774105 14947918 17405110 29548210 29895836 34810220 37369795 59096420 74739590 127057303 149479180 254114606 508229212 635286515 1270573030 2541146060