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2740004126664 = 2337547206914411
BaseRepresentation
bin100111110111110100111…
…110001111111111001000
3100200221102121011102220220
4213313310332033333020
5324343012024023124
65454423541350040
7401646566540340
oct47676476177710
910627377142826
102740004126664
11967035996992
12383045a08320
1316b4c5899c7c
149688cb17d20
154b4190d4879
hex27df4f8ffc8

2740004126664 has 128 divisors (see below), whose sum is σ = 7847230233600. Its totient is φ = 780995255040.

The previous prime is 2740004126641. The next prime is 2740004126681. The reversal of 2740004126664 is 4666214000472.

It is a super-2 number, since 2×27400041266642 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 190125619 + ... + 190140029.

It is an arithmetic number, because the mean of its divisors is an integer number (61306486200).

Almost surely, 22740004126664 is an apocalyptic number.

2740004126664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2740004126664 is an abundant number, since it is smaller than the sum of its proper divisors (5107226106936).

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

2740004126664 is a wasteful number, since it uses less digits than its factorization.

2740004126664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17043 (or 17039 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 42.

The spelling of 2740004126664 in words is "two trillion, seven hundred forty billion, four million, one hundred twenty-six thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 547 1094 1641 2069 2188 3282 3829 4138 4376 6207 6564 7658 8276 11487 12414 13128 14411 14483 15316 16552 22974 24828 28822 28966 30632 43233 43449 45948 49656 57644 57932 86466 86898 91896 100877 115288 115864 172932 173796 201754 302631 345864 347592 403508 605262 807016 1131743 1210524 2263486 2421048 3395229 4526972 6790458 7882817 7922201 9053944 13580916 15765634 15844402 23648451 23766603 27161832 29816359 31531268 31688804 47296902 47533206 55179719 59632718 63062536 63377608 89449077 94593804 95066412 110359438 119265436 165539157 178898154 189187608 190132824 208714513 220718876 238530872 331078314 357796308 417429026 441437752 626143539 662156628 715592616 834858052 1252287078 1324313256 1669716104 2504574156 5009148312 16309548373 32619096746 48928645119 65238193492 97857290238 114166838611 130476386984 195714580476 228333677222 342500515833 391429160952 456667354444 685001031666 913334708888 1370002063332 2740004126664