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2135678490 = 2325112157251
BaseRepresentation
bin111111101001011…
…1101111000011010
312111211122201010100
41333102331320122
513333213202430
6551531000230
7103631652621
oct17722757032
95454581110
102135678490
119a6597950
124b7299076
132806006aa
141638d66b8
15c7763960
hex7f4bde1a

2135678490 has 48 divisors (see below), whose sum is σ = 6057563616. Its totient is φ = 517740000.

The previous prime is 2135678483. The next prime is 2135678491. The reversal of 2135678490 is 948765312.

2135678490 is a `hidden beast` number, since 2 + 1 + 3 + 567 + 84 + 9 + 0 = 666.

2135678490 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×21356784902 = 9122245225297360200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

2135678490 is strictly pandigital in base 10.

It is not an unprimeable number, because it can be changed into a prime (2135678491) 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, 1077636 + ... + 1079615.

It is an arithmetic number, because the mean of its divisors is an integer number (126199242).

It is a 2-persistent number, because it is pandigital, and so is 2⋅2135678490 = 4271356980, but 3⋅2135678490 = 6407035470 is not.

Almost surely, 22135678490 is an apocalyptic number.

2135678490 is an abundant number, since it is smaller than the sum of its proper divisors (3921885126).

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

2135678490 is a wasteful number, since it uses less digits than its factorization.

2135678490 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2157275 (or 2157272 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 2135678490 is about 46213.4016276664. The cubic root of 2135678490 is about 1287.7907200350.

It can be divided in two parts, 2135 and 678490, that added together give a square (680625 = 8252).

The spelling of 2135678490 in words is "two billion, one hundred thirty-five million, six hundred seventy-eight thousand, four hundred ninety".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 165 198 330 495 990 2157251 4314502 6471753 10786255 12943506 19415259 21572510 23729761 32358765 38830518 47459522 64717530 71189283 97076295 118648805 142378566 194152590 213567849 237297610 355946415 427135698 711892830 1067839245 2135678490