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2608820240 = 245132508481
BaseRepresentation
bin1001101101111111…
…0111000000010000
320201210221210120212
42123133313000100
520320324221430
61110512023252
7121435414625
oct23337670020
96653853525
102608820240
11111967a294
12609831b28
13327640820
141aa69a34c
15104073b95
hex9b7f7010

2608820240 has 40 divisors (see below), whose sum is σ = 6532087128. Its totient is φ = 963256320.

The previous prime is 2608820231. The next prime is 2608820261. The reversal of 2608820240 is 420288062.

It is a happy number.

2608820240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 81144064 + 2527676176 = 9008^2 + 50276^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 2608820197 and 2608820206.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1253201 + ... + 1255280.

Almost surely, 22608820240 is an apocalyptic number.

2608820240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2608820240 is an abundant number, since it is smaller than the sum of its proper divisors (3923266888).

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

2608820240 is a wasteful number, since it uses less digits than its factorization.

2608820240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2508507 (or 2508501 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 32.

The square root of 2608820240 is about 51076.6114772701. The cubic root of 2608820240 is about 1376.6220399429.

The spelling of 2608820240 in words is "two billion, six hundred eight million, eight hundred twenty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 2508481 5016962 10033924 12542405 20067848 25084810 32610253 40135696 50169620 65220506 100339240 130441012 163051265 200678480 260882024 326102530 521764048 652205060 1304410120 2608820240