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2041124240 = 24537218637
BaseRepresentation
bin111100110101001…
…0001010110010000
312021020201212002002
41321222101112100
513140011433430
6534312213132
7101403161351
oct17152212620
95236655062
102041124240
11958185941
1248b69a1a8
13266b4582c
14155121d28
15be2d7845
hex79a91590

2041124240 has 60 divisors (see below), whose sum is σ = 4877601876. Its totient is φ = 794340864.

The previous prime is 2041124237. The next prime is 2041124249. The reversal of 2041124240 is 424211402.

It can be written as a sum of positive squares in 6 ways, for example, as 614656 + 2040509584 = 784^2 + 45172^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (2041124249) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 100202 + ... + 118838.

Almost surely, 22041124240 is an apocalyptic number.

2041124240 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 2041124240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2438800938).

2041124240 is an abundant number, since it is smaller than the sum of its proper divisors (2836477636).

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

2041124240 is a wasteful number, since it uses less digits than its factorization.

2041124240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18724 (or 18681 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 2041124240 is about 45178.8029943247. The cubic root of 2041124240 is about 1268.4980777694.

Adding to 2041124240 its reverse (424211402), we get a palindrome (2465335642).

The spelling of 2041124240 in words is "two billion, forty-one million, one hundred twenty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 37 40 74 80 148 185 296 370 592 740 1369 1480 2738 2960 5476 6845 10952 13690 18637 21904 27380 37274 54760 74548 93185 109520 149096 186370 298192 372740 689569 745480 1379138 1490960 2758276 3447845 5516552 6895690 11033104 13791380 25514053 27582760 51028106 55165520 102056212 127570265 204112424 255140530 408224848 510281060 1020562120 2041124240