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2010512340 = 223452353959
BaseRepresentation
bin111011111010101…
…1111101111010100
312012010010121110000
41313311133233110
513104142343330
6531300131300
7100552034004
oct16765375724
95163117400
102010512340
11941977751
12481396b30
132606b8195
14151034004
15bb78c560
hex77d5fbd4

2010512340 has 120 divisors (see below), whose sum is σ = 6581393280. Its totient is φ = 512816832.

The previous prime is 2010512333. The next prime is 2010512369. The reversal of 2010512340 is 432150102.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 10281 + ... + 64239.

It is an arithmetic number, because the mean of its divisors is an integer number (54844944).

Almost surely, 22010512340 is an apocalyptic number.

2010512340 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 2010512340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3290696640).

2010512340 is an abundant number, since it is smaller than the sum of its proper divisors (4570880940).

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

2010512340 is a wasteful number, since it uses less digits than its factorization.

2010512340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54003 (or 53992 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 2010512340 is about 44838.7370473344. The cubic root of 2010512340 is about 1262.1246466412.

Adding to 2010512340 its reverse (432150102), we get a palindrome (2442662442).

The spelling of 2010512340 in words is "two billion, ten million, five hundred twelve thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 27 30 36 45 46 54 60 69 81 90 92 108 115 135 138 162 180 207 230 270 276 324 345 405 414 460 540 621 690 810 828 1035 1242 1380 1620 1863 2070 2484 3105 3726 4140 6210 7452 9315 12420 18630 37260 53959 107918 161877 215836 269795 323754 485631 539590 647508 809385 971262 1079180 1241057 1456893 1618770 1942524 2428155 2482114 2913786 3237540 3723171 4370679 4856310 4964228 5827572 6205285 7284465 7446342 8741358 9712620 11169513 12410570 14568930 14892684 17482716 18615855 21853395 22339026 24821140 29137860 33508539 37231710 43706790 44678052 55847565 67017078 74463420 87413580 100525617 111695130 134034156 167542695 201051234 223390260 335085390 402102468 502628085 670170780 1005256170 2010512340