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2980385280 = 293651597
BaseRepresentation
bin1011000110100101…
…0001001000000000
321200201010021000000
42301221101020000
522100434312110
61211424000000
7133566566625
oct26151211000
97621107000
102980385280
11129a393634
126b2160000
133866075b2
14203b7c34c
151269bc1c0
hexb1a51200

2980385280 has 280 divisors, whose sum is σ = 10720716732. Its totient is φ = 794271744.

The previous prime is 2980385279. The next prime is 2980385281. The reversal of 2980385280 is 825830892.

2980385280 is a `hidden beast` number, since 2 + 98 + 0 + 38 + 528 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2980385279) and next prime (2980385281).

It can be written as a sum of positive squares in 2 ways, for example, as 2823434496 + 156950784 = 53136^2 + 12528^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (2980385281) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 1865442 + ... + 1867038.

Almost surely, 22980385280 is an apocalyptic number.

2980385280 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 2980385280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5360358366).

2980385280 is an abundant number, since it is smaller than the sum of its proper divisors (7740331452).

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

2980385280 is an frugal number, since it uses more digits than its factorization.

2980385280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1638 (or 1607 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 2980385280 is about 54592.9050335298. The cubic root of 2980385280 is about 1439.0994369133.

The spelling of 2980385280 in words is "two billion, nine hundred eighty million, three hundred eighty-five thousand, two hundred eighty".