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2674241280 = 283252310093
BaseRepresentation
bin1001111101100101…
…1010111100000000
320220101001112101100
42133121122330000
520434101210110
61121210134400
7123161450544
oct23731327400
96811045340
102674241280
1111525a3067
12627721400
133380680b9
141b5249a24
15109b97bc0
hex9f65af00

2674241280 has 216 divisors, whose sum is σ = 9655839648. Its totient is φ = 682057728.

The previous prime is 2674241261. The next prime is 2674241309. The reversal of 2674241280 is 821424762.

2674241280 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 259914 + ... + 270006.

Almost surely, 22674241280 is an apocalyptic number.

2674241280 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 2674241280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4827919824).

2674241280 is an abundant number, since it is smaller than the sum of its proper divisors (6981598368).

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

2674241280 is a wasteful number, since it uses less digits than its factorization.

2674241280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10143 (or 10126 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 2674241280 is about 51713.0668206789. The cubic root of 2674241280 is about 1388.0342933777.

The spelling of 2674241280 in words is "two billion, six hundred seventy-four million, two hundred forty-one thousand, two hundred eighty".