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2074394640 = 243537792957
BaseRepresentation
bin111101110100100…
…1100000000010000
312100120100011111010
41323221030000100
513222021112030
6541501250520
7102256030533
oct17351140020
95316304433
102074394640
11974a3a43a
1249a863a40
132709c4266
14159702a1a
15c21aa6b0
hex7ba4c010

2074394640 has 160 divisors (see below), whose sum is σ = 6690286080. Its totient is φ = 531228672.

The previous prime is 2074394627. The next prime is 2074394683. The reversal of 2074394640 is 464934702.

It is a super-2 number, since 2×20743946402 = 8606226244921459200, which contains 22 as substring.

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, 700042 + ... + 702998.

It is an arithmetic number, because the mean of its divisors is an integer number (41814288).

Almost surely, 22074394640 is an apocalyptic number.

2074394640 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 2074394640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3345143040).

2074394640 is an abundant number, since it is smaller than the sum of its proper divisors (4615891440).

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

2074394640 is a wasteful number, since it uses less digits than its factorization.

2074394640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3089 (or 3083 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 39.

The square root of 2074394640 is about 45545.5227217780. The cubic root of 2074394640 is about 1275.3531539993.

The spelling of 2074394640 in words is "two billion, seventy-four million, three hundred ninety-four thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 37 40 48 60 74 79 80 111 120 148 158 185 222 237 240 296 316 370 395 444 474 555 592 632 740 790 888 948 1110 1185 1264 1480 1580 1776 1896 2220 2370 2923 2957 2960 3160 3792 4440 4740 5846 5914 6320 8769 8871 8880 9480 11692 11828 14615 14785 17538 17742 18960 23384 23656 29230 29570 35076 35484 43845 44355 46768 47312 58460 59140 70152 70968 87690 88710 109409 116920 118280 140304 141936 175380 177420 218818 233603 233840 236560 328227 350760 354840 437636 467206 547045 656454 700809 701520 709680 875272 934412 1094090 1168015 1312908 1401618 1641135 1750544 1868824 2188180 2336030 2625816 2803236 3282270 3504045 3737648 4376360 4672060 5251632 5606472 6564540 7008090 8643311 8752720 9344120 11212944 13129080 14016180 17286622 18688240 25929933 26258160 28032360 34573244 43216555 51859866 56064720 69146488 86433110 103719732 129649665 138292976 172866220 207439464 259299330 345732440 414878928 518598660 691464880 1037197320 2074394640