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2520540054 = 23217233677
BaseRepresentation
bin1001011000111100…
…0110001110010110
320111122211200221100
42112033012032112
520130224240204
61054035530530
7116314144164
oct22617061626
96448750840
102520540054
11108386305a
125a4159a46
13312271626
1419ca7a234
15eb436a39
hex963c6396

2520540054 has 96 divisors (see below), whose sum is σ = 6054160320. Its totient is φ = 755259648.

The previous prime is 2520540023. The next prime is 2520540059. The reversal of 2520540054 is 4500450252.

2520540054 is a `hidden beast` number, since 2 + 5 + 205 + 400 + 54 = 666.

2520540054 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2520540059) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3722764 + ... + 3723440.

It is an arithmetic number, because the mean of its divisors is an integer number (63064170).

Almost surely, 22520540054 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2520540054, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3027080160).

2520540054 is an abundant number, since it is smaller than the sum of its proper divisors (3533620266).

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

2520540054 is a wasteful number, since it uses less digits than its factorization.

2520540054 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 771 (or 722 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 27.

The square root of 2520540054 is about 50204.9803704772. The cubic root of 2520540054 is about 1360.9156272832.

The spelling of 2520540054 in words is "two billion, five hundred twenty million, five hundred forty thousand, fifty-four".

Divisors: 1 2 3 6 9 17 18 23 34 46 51 69 102 138 153 207 306 391 414 529 677 782 1058 1173 1354 1587 2031 2346 3174 3519 4062 4761 6093 7038 8993 9522 11509 12167 12186 15571 17986 23018 24334 26979 31142 34527 36501 46713 53958 69054 73002 80937 93426 103581 109503 140139 161874 206839 207162 219006 264707 280278 358133 413678 529414 620517 716266 794121 1074399 1241034 1588242 1861551 2148798 2382363 3223197 3723102 4764726 6088261 6446394 8237059 12176522 16474118 18264783 24711177 36529566 49422354 54794349 74133531 109588698 140030003 148267062 280060006 420090009 840180018 1260270027 2520540054