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2908002240 = 26325111323307
BaseRepresentation
bin1010110101010100…
…1001011111000000
321111122220211010200
42231111021133000
521423422032430
61200320325200
7132030416433
oct25525113700
97448824120
102908002240
111262545140
12691a73800
133746131b0
141d82d981a
15120470460
hexad5497c0

2908002240 has 672 divisors, whose sum is σ = 12301825536. Its totient is φ = 620421120.

The previous prime is 2908002239. The next prime is 2908002241. The reversal of 2908002240 is 422008092.

It is an interprime number because it is at equal distance from previous prime (2908002239) and next prime (2908002241).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2908002241) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9472167 + ... + 9472473.

It is an arithmetic number, because the mean of its divisors is an integer number (18306288).

Almost surely, 22908002240 is an apocalyptic number.

2908002240 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 2908002240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6150912768).

2908002240 is an abundant number, since it is smaller than the sum of its proper divisors (9393823296).

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

2908002240 is a wasteful number, since it uses less digits than its factorization.

2908002240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 2908002240 is about 53925.8958200974. The cubic root of 2908002240 is about 1427.3536137248.

The spelling of 2908002240 in words is "two billion, nine hundred eight million, two thousand, two hundred forty".