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2440420320 = 2535131133461
BaseRepresentation
bin1001000101110101…
…1101101111100000
320022002002012022210
42101131131233200
514444221422240
61042054402120
7114322142022
oct22135355740
96262065283
102440420320
11104260a9a8
12581360340
132cb79b8c0
14192182012
15e43ac780
hex9175dbe0

2440420320 has 192 divisors, whose sum is σ = 8354332224. Its totient is φ = 595230720.

The previous prime is 2440420309. The next prime is 2440420321. The reversal of 2440420320 is 230240442.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2440420321) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 703390 + ... + 706850.

It is an arithmetic number, because the mean of its divisors is an integer number (43512147).

Almost surely, 22440420320 is an apocalyptic number.

2440420320 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 2440420320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4177166112).

2440420320 is an abundant number, since it is smaller than the sum of its proper divisors (5913911904).

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

2440420320 is a wasteful number, since it uses less digits than its factorization.

2440420320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3605 (or 3597 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 21.

The square root of 2440420320 is about 49400.6105225431. The cubic root of 2440420320 is about 1346.3403984718.

Adding to 2440420320 its reverse (230240442), we get a palindrome (2670660762).

The spelling of 2440420320 in words is "two billion, four hundred forty million, four hundred twenty thousand, three hundred twenty".