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2041240320 = 283257171489
BaseRepresentation
bin111100110101010…
…1101101100000000
312021020221202022100
41321222231230000
513140024142240
6534314510400
7101404153650
oct17152555400
95236852270
102041240320
11958255079
1248b735400
13266b86612
14155152360
15be30be30
hex79aadb00

2041240320 has 432 divisors, whose sum is σ = 8551932480. Its totient is φ = 438829056.

The previous prime is 2041240307. The next prime is 2041240343. The reversal of 2041240320 is 230421402.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2041240293 and 2041240302.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1370136 + ... + 1371624.

It is an arithmetic number, because the mean of its divisors is an integer number (19796140).

Almost surely, 22041240320 is an apocalyptic number.

2041240320 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 2041240320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4275966240).

2041240320 is an abundant number, since it is smaller than the sum of its proper divisors (6510692160).

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

2041240320 is a wasteful number, since it uses less digits than its factorization.

2041240320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1540 (or 1523 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 2041240320 is about 45180.0876493174. The cubic root of 2041240320 is about 1268.5221240707.

Adding to 2041240320 its reverse (230421402), we get a palindrome (2271661722).

The spelling of 2041240320 in words is "two billion, forty-one million, two hundred forty thousand, three hundred twenty".