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2674351680 = 263571131323
BaseRepresentation
bin1001111101100111…
…0101111001000000
320220101021010211020
42133121311321000
520434113223210
61121212345440
7123162420450
oct23731657100
96811233736
102674351680
111152669000
12627775280
133380a6420
141b5277d60
15109bba770
hex9f675e40

2674351680 has 896 divisors, whose sum is σ = 11994587136. Its totient is φ = 490659840.

The previous prime is 2674351663. The next prime is 2674351697. The reversal of 2674351680 is 861534762.

It is an interprime number because it is at equal distance from previous prime (2674351663) and next prime (2674351697).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 116276149 + ... + 116276171.

It is an arithmetic number, because the mean of its divisors is an integer number (13386816).

Almost surely, 22674351680 is an apocalyptic number.

2674351680 is a gapful number since it is divisible by the number (20) 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 2674351680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5997293568).

2674351680 is an abundant number, since it is smaller than the sum of its proper divisors (9320235456).

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

2674351680 is a wasteful number, since it uses less digits than its factorization.

2674351680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The square root of 2674351680 is about 51714.1342381365. The cubic root of 2674351680 is about 1388.0533937332.

The spelling of 2674351680 in words is "two billion, six hundred seventy-four million, three hundred fifty-one thousand, six hundred eighty".