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2417042040 = 2335743611097
BaseRepresentation
bin1001000000010001…
…0010001001111000
320020110002110100120
42100010102021320
514422230321130
61035501333240
7113616342540
oct22004221170
96213073316
102417042040
1110303a2506
12575567220
132c69a48ba
1418d018320
15e22e0910
hex90112278

2417042040 has 256 divisors, whose sum is σ = 8626590720. Its totient is φ = 530288640.

The previous prime is 2417041943. The next prime is 2417042059. The reversal of 2417042040 is 402407142.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2417042040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2202772 + ... + 2203868.

It is an arithmetic number, because the mean of its divisors is an integer number (33697620).

Almost surely, 22417042040 is an apocalyptic number.

2417042040 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 2417042040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4313295360).

2417042040 is an abundant number, since it is smaller than the sum of its proper divisors (6209548680).

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

2417042040 is a wasteful number, since it uses less digits than its factorization.

2417042040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1222 (or 1218 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 24.

The square root of 2417042040 is about 49163.4217686279. The cubic root of 2417042040 is about 1342.0274573256.

Adding to 2417042040 its reverse (402407142), we get a palindrome (2819449182).

The spelling of 2417042040 in words is "two billion, four hundred seventeen million, forty-two thousand, forty".