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2040444240 = 24358539967
BaseRepresentation
bin111100110011110…
…1011010101010000
312021012110022021220
41321213223111100
513134323203430
6534245445040
7101364330012
oct17147532520
95235408256
102040444240
11957860a5a
1248b410780
13266968173
14154dc61b2
15be201110
hex799eb550

2040444240 has 80 divisors (see below), whose sum is σ = 6333427968. Its totient is φ = 543426048.

The previous prime is 2040444239. The next prime is 2040444247. The reversal of 2040444240 is 424440402.

It is a tau number, because it is divible by the number of its divisors (80).

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 2040444240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2040444247) 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 15 ways as a sum of consecutive naturals, for example, 199737 + ... + 209703.

Almost surely, 22040444240 is an apocalyptic number.

2040444240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2040444240 is an abundant number, since it is smaller than the sum of its proper divisors (4292983728).

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

2040444240 is a wasteful number, since it uses less digits than its factorization.

2040444240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10836 (or 10830 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

The square root of 2040444240 is about 45171.2767143015. The cubic root of 2040444240 is about 1268.3571955237.

Adding to 2040444240 its reverse (424440402), we get a palindrome (2464884642).

The spelling of 2040444240 in words is "two billion, forty million, four hundred forty-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 853 1706 2559 3412 4265 5118 6824 8530 9967 10236 12795 13648 17060 19934 20472 25590 29901 34120 39868 40944 49835 51180 59802 68240 79736 99670 102360 119604 149505 159472 199340 204720 239208 299010 398680 478416 598020 797360 1196040 2392080 8501851 17003702 25505553 34007404 42509255 51011106 68014808 85018510 102022212 127527765 136029616 170037020 204044424 255055530 340074040 408088848 510111060 680148080 1020222120 2040444240