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2024981140 = 2257133730071
BaseRepresentation
bin111100010110010…
…1100001010010100
312020010100200220111
41320230230022110
513121343344030
6532534212404
7101116025050
oct17054541224
95203320814
102024981140
1194a05a336
124861b4104
132636b2ac0
14152d1cc60
15bcb9962a
hex78b2c294

2024981140 has 96 divisors (see below), whose sum is σ = 5375430144. Its totient is φ = 623531520.

The previous prime is 2024981093. The next prime is 2024981149. The reversal of 2024981140 is 411894202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2024981149) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52305 + ... + 82375.

It is an arithmetic number, because the mean of its divisors is an integer number (55994064).

Almost surely, 22024981140 is an apocalyptic number.

2024981140 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 2024981140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2687715072).

2024981140 is an abundant number, since it is smaller than the sum of its proper divisors (3350449004).

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

2024981140 is a wasteful number, since it uses less digits than its factorization.

2024981140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30137 (or 30135 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 31.

The square root of 2024981140 is about 44999.7904439565. The cubic root of 2024981140 is about 1265.1450702515.

The spelling of 2024981140 in words is "two billion, twenty-four million, nine hundred eighty-one thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 37 52 65 70 74 91 130 140 148 182 185 259 260 364 370 455 481 518 740 910 962 1036 1295 1820 1924 2405 2590 3367 4810 5180 6734 9620 13468 16835 30071 33670 60142 67340 120284 150355 210497 300710 390923 420994 601420 781846 841988 1052485 1112627 1563692 1954615 2104970 2225254 2736461 3909230 4209940 4450508 5472922 5563135 7788389 7818460 10945844 11126270 13682305 14464151 15576778 22252540 27364610 28928302 31153556 38941945 54729220 57856604 72320755 77883890 101249057 144641510 155767780 202498114 289283020 404996228 506245285 1012490570 2024981140