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2991478240 = 25525174489
BaseRepresentation
bin1011001001001110…
…0101010111100000
321201110222211200101
42302103211113200
522111304300430
61212501432144
7134063100622
oct26223452740
97643884611
102991478240
1112a567a973
126b5a0b654
133889bc78a
14205428c12
1512795ddca
hexb24e55e0

2991478240 has 48 divisors (see below), whose sum is σ = 7095619440. Its totient is φ = 1191808000.

The previous prime is 2991478213. The next prime is 2991478241. The reversal of 2991478240 is 428741992.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2991478241) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2916 + ... + 77404.

It is an arithmetic number, because the mean of its divisors is an integer number (147825405).

Almost surely, 22991478240 is an apocalyptic number.

2991478240 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 2991478240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3547809720).

2991478240 is an abundant number, since it is smaller than the sum of its proper divisors (4104141200).

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

2991478240 is a wasteful number, since it uses less digits than its factorization.

2991478240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74755 (or 74747 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 46.

The square root of 2991478240 is about 54694.4077580149. The cubic root of 2991478240 is about 1440.8826635838.

The spelling of 2991478240 in words is "two billion, nine hundred ninety-one million, four hundred seventy-eight thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 251 502 1004 1255 2008 2510 4016 5020 8032 10040 20080 40160 74489 148978 297956 372445 595912 744890 1191824 1489780 2383648 2979560 5959120 11918240 18696739 37393478 74786956 93483695 149573912 186967390 299147824 373934780 598295648 747869560 1495739120 2991478240