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2105340240 = 24358772251
BaseRepresentation
bin111110101111100…
…1111000101010000
312102201120100212110
41331133033011100
513302431341430
6544524425320
7103113045123
oct17537170520
95381510773
102105340240
11990456313
124a90a8240
1327723a773
1415d87a3ba
15c4c6e7b0
hex7d7cf150

2105340240 has 40 divisors (see below), whose sum is σ = 6526555488. Its totient is φ = 561424000.

The previous prime is 2105340233. The next prime is 2105340241. The reversal of 2105340240 is 420435012.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2105340241) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4385886 + ... + 4386365.

Almost surely, 22105340240 is an apocalyptic number.

2105340240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2105340240 is an abundant number, since it is smaller than the sum of its proper divisors (4421215248).

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

2105340240 is a wasteful number, since it uses less digits than its factorization.

2105340240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8772267 (or 8772261 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 2105340240 is about 45883.9867491917. The cubic root of 2105340240 is about 1281.6637382363.

Adding to 2105340240 its reverse (420435012), we get a palindrome (2525775252).

The spelling of 2105340240 in words is "two billion, one hundred five million, three hundred forty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 8772251 17544502 26316753 35089004 43861255 52633506 70178008 87722510 105267012 131583765 140356016 175445020 210534024 263167530 350890040 421068048 526335060 701780080 1052670120 2105340240