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2674048608 = 2532711373259
BaseRepresentation
bin1001111101100010…
…1011111001100000
320220100200202002100
42133120223321200
520434024023413
61121202050400
7123160016040
oct23730537140
96810622070
102674048608
111152481330
12627649a00
13337ccb4aa
141b51d9720
15109b5aa73
hex9f62be60

2674048608 has 288 divisors, whose sum is σ = 9739941120. Its totient is φ = 675578880.

The previous prime is 2674048603. The next prime is 2674048613. The reversal of 2674048608 is 8068404762.

It is an interprime number because it is at equal distance from previous prime (2674048603) and next prime (2674048613).

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2674048603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 818883 + ... + 822141.

It is an arithmetic number, because the mean of its divisors is an integer number (33819240).

Almost surely, 22674048608 is an apocalyptic number.

2674048608 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2674048608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4869970560).

2674048608 is an abundant number, since it is smaller than the sum of its proper divisors (7065892512).

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

2674048608 is a wasteful number, since it uses less digits than its factorization.

2674048608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3330 (or 3319 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The square root of 2674048608 is about 51711.2038923868. The cubic root of 2674048608 is about 1388.0009578458. Note that the first 3 decimals are identical.

The spelling of 2674048608 in words is "two billion, six hundred seventy-four million, forty-eight thousand, six hundred eight".