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2540886453540 = 2232529486759857
BaseRepresentation
bin100100111110011000101…
…000100110110100100100
322222220110202010121100200
4210332120220212310210
5313112213413003130
65223133410510500
7351400351334031
oct44763050466444
98886422117320
102540886453540
1189a647186a56
12350535895430
131557b22c7206
148ad9dcb2388
154616334a760
hex24f98a26d24

2540886453540 has 72 divisors (see below), whose sum is σ = 7973126474040. Its totient is φ = 654205246464.

The previous prime is 2540886453533. The next prime is 2540886453559. The reversal of 2540886453540 is 453546880452.

2540886453540 is a `hidden beast` number, since 2 + 5 + 4 + 0 + 8 + 8 + 64 + 535 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 19517207616 + 2521369245924 = 139704^2 + 1587882^2 .

It is a super-2 number, since 2×25408864535402 (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 243374709 + ... + 243385148.

It is an arithmetic number, because the mean of its divisors is an integer number (110737867695).

Almost surely, 22540886453540 is an apocalyptic number.

2540886453540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2540886453540 is an abundant number, since it is smaller than the sum of its proper divisors (5432240020500).

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

2540886453540 is a wasteful number, since it uses less digits than its factorization.

2540886453540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486759901 (or 486759896 counting only the distinct ones).

The product of its (nonzero) digits is 18432000, while the sum is 54.

The spelling of 2540886453540 in words is "two trillion, five hundred forty billion, eight hundred eighty-six million, four hundred fifty-three thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 29 30 36 45 58 60 87 90 116 145 174 180 261 290 348 435 522 580 870 1044 1305 1740 2610 5220 486759857 973519714 1460279571 1947039428 2433799285 2920559142 4380838713 4867598570 5841118284 7301397855 8761677426 9735197140 14116035853 14602795710 17523354852 21904193565 28232071706 29205591420 42348107559 43808387130 56464143412 70580179265 84696215118 87616774260 127044322677 141160358530 169392430236 211740537795 254088645354 282320717060 423481075590 508177290708 635221613385 846962151180 1270443226770 2540886453540