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2080075440 = 243520034327
BaseRepresentation
bin111101111111011…
…0110111010110000
312100222000210002010
41323332312322300
513224444403230
6542223122520
7102355230612
oct17376667260
95328023063
102080075440
1197816a513
124a0743440
13271c32b91
1415a380db2
15c292d9b0
hex7bfb6eb0

2080075440 has 80 divisors (see below), whose sum is σ = 6452944128. Its totient is φ = 554281728.

The previous prime is 2080075433. The next prime is 2080075457. The reversal of 2080075440 is 445700802.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2080075398 and 2080075407.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 478557 + ... + 482883.

Almost surely, 22080075440 is an apocalyptic number.

2080075440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2080075440 is an abundant number, since it is smaller than the sum of its proper divisors (4372868688).

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

2080075440 is a wasteful number, since it uses less digits than its factorization.

2080075440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6346 (or 6340 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 30.

The square root of 2080075440 is about 45607.8440621786. The cubic root of 2080075440 is about 1276.5162921535.

The spelling of 2080075440 in words is "two billion, eighty million, seventy-five thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 2003 4006 4327 6009 8012 8654 10015 12018 12981 16024 17308 20030 21635 24036 25962 30045 32048 34616 40060 43270 48072 51924 60090 64905 69232 80120 86540 96144 103848 120180 129810 160240 173080 207696 240360 259620 346160 480720 519240 1038480 8666981 17333962 26000943 34667924 43334905 52001886 69335848 86669810 104003772 130004715 138671696 173339620 208007544 260009430 346679240 416015088 520018860 693358480 1040037720 2080075440