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2040724336 = 247171922969
BaseRepresentation
bin111100110100010…
…1111101101110000
312021012222112111211
41321220233231300
513134411134321
6534255445504
7101366604430
oct17150575560
95235875454
102040724336
11957a32442
1248b526894
13266a357c1
1415505a2c0
15be2590e1
hex79a2fb70

2040724336 has 120 divisors (see below), whose sum is σ = 5051328480. Its totient is φ = 779563008.

The previous prime is 2040724331. The next prime is 2040724369. The reversal of 2040724336 is 6334270402.

It is a junction number, because it is equal to n+sod(n) for n = 2040724298 and 2040724307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2040724331) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 685860 + ... + 688828.

It is an arithmetic number, because the mean of its divisors is an integer number (42094404).

Almost surely, 22040724336 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2040724336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2525664240).

2040724336 is an abundant number, since it is smaller than the sum of its proper divisors (3010604144).

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

2040724336 is a wasteful number, since it uses less digits than its factorization.

2040724336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3039 (or 3014 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 31.

The square root of 2040724336 is about 45174.3769851893. The cubic root of 2040724336 is about 1268.4152295400.

Adding to 2040724336 its reverse (6334270402), we get a palindrome (8374994738).

The spelling of 2040724336 in words is "two billion, forty million, seven hundred twenty-four thousand, three hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 17 19 28 34 38 56 68 76 112 119 133 136 152 238 266 272 304 323 361 476 532 646 722 952 1064 1292 1444 1904 2128 2261 2527 2584 2888 2969 4522 5054 5168 5776 5938 6137 9044 10108 11876 12274 18088 20216 20783 23752 24548 36176 40432 41566 42959 47504 49096 50473 56411 83132 85918 98192 100946 112822 166264 171836 201892 225644 332528 343672 353311 394877 403784 451288 687344 706622 789754 807568 902576 958987 1071809 1413244 1579508 1917974 2143618 2826488 3159016 3835948 4287236 5652976 6318032 6712909 7502663 7671896 8574472 13425818 15005326 15343792 17148944 18220753 26851636 30010652 36441506 53703272 60021304 72883012 107406544 120042608 127545271 145766024 255090542 291532048 510181084 1020362168 2040724336