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2040640640 = 2753188501
BaseRepresentation
bin111100110100001…
…1011010010000000
312021012211021200222
41321220123102000
513134401000030
6534254002212
7101366105423
oct17150332200
95235737628
102040640640
11957985575
1248b4a6368
13266a0668c
141550379ba
15be23e3e5
hex79a1b480

2040640640 has 32 divisors (see below), whose sum is σ = 4878408060. Its totient is φ = 816256000.

The previous prime is 2040640621. The next prime is 2040640649. The reversal of 2040640640 is 460460402.

It can be written as a sum of positive squares in 2 ways, for example, as 2009190976 + 31449664 = 44824^2 + 5608^2 .

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 (2040640649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1593611 + ... + 1594890.

Almost surely, 22040640640 is an apocalyptic number.

2040640640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2040640640 is an abundant number, since it is smaller than the sum of its proper divisors (2837767420).

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

2040640640 is an equidigital number, since it uses as much as digits as its factorization.

2040640640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3188520 (or 3188508 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

The square root of 2040640640 is about 45173.4506098438. The cubic root of 2040640640 is about 1268.3978888454.

The spelling of 2040640640 in words is "two billion, forty million, six hundred forty thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 3188501 6377002 12754004 15942505 25508008 31885010 51016016 63770020 102032032 127540040 204064064 255080080 408128128 510160160 1020320320 2040640640