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2081319040 = 2753252061
BaseRepresentation
bin111110000001110…
…0110100010000000
312101001100221222101
41330003212202000
513230304202130
6542305520144
7102401630353
oct17403464200
95331327871
102081319040
11978939889
124a1043054
13272279c38
1415a5c629a
15c2ac71ca
hex7c0e6880

2081319040 has 32 divisors (see below), whose sum is σ = 4975654860. Its totient is φ = 832527360.

The previous prime is 2081319007. The next prime is 2081319047. The reversal of 2081319040 is 409131802.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1999162944 + 82156096 = 44712^2 + 9064^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (2081319047) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1625391 + ... + 1626670.

Almost surely, 22081319040 is an apocalyptic number.

2081319040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2081319040 is an abundant number, since it is smaller than the sum of its proper divisors (2894335820).

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

2081319040 is an equidigital number, since it uses as much as digits as its factorization.

2081319040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3252080 (or 3252068 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 2081319040 is about 45621.4756447005. The cubic root of 2081319040 is about 1276.7706353969.

The spelling of 2081319040 in words is "two billion, eighty-one million, three hundred nineteen thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 3252061 6504122 13008244 16260305 26016488 32520610 52032976 65041220 104065952 130082440 208131904 260164880 416263808 520329760 1040659520 2081319040