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2051450640 = 2432512912207
BaseRepresentation
bin111101001000110…
…1010011100010000
312021222011111020100
41322101222130100
513200132410030
6535321412400
7101560020441
oct17221523420
95258144210
102051450640
11962a99258
1249303a100
1326901cb25
1415664d2c8
15c0177360
hex7a46a710

2051450640 has 120 divisors (see below), whose sum is σ = 6897915648. Its totient is φ = 546382080.

The previous prime is 2051450629. The next prime is 2051450647. The reversal of 2051450640 is 460541502.

2051450640 is a `hidden beast` number, since 2 + 0 + 5 + 14 + 5 + 0 + 640 = 666.

2051450640 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (2051450647) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 928417 + ... + 930623.

Almost surely, 22051450640 is an apocalyptic number.

2051450640 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 2051450640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3448957824).

2051450640 is an abundant number, since it is smaller than the sum of its proper divisors (4846465008).

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

2051450640 is a wasteful number, since it uses less digits than its factorization.

2051450640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3517 (or 3508 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 2051450640 is about 45292.9424965965. The cubic root of 2051450640 is about 1270.6336639833.

The spelling of 2051450640 in words is "two billion, fifty-one million, four hundred fifty thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 1291 2207 2582 3873 4414 5164 6455 6621 7746 8828 10328 11035 11619 12910 13242 15492 17656 19365 19863 20656 22070 23238 25820 26484 30984 33105 35312 38730 39726 44140 46476 51640 52968 58095 61968 66210 77460 79452 88280 92952 99315 103280 105936 116190 132420 154920 158904 176560 185904 198630 232380 264840 309840 317808 397260 464760 529680 794520 929520 1589040 2849237 5698474 8547711 11396948 14246185 17095422 22793896 25643133 28492370 34190844 42738555 45587792 51286266 56984740 68381688 85477110 102572532 113969480 128215665 136763376 170954220 205145064 227938960 256431330 341908440 410290128 512862660 683816880 1025725320 2051450640