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2041404330 = 2357233711423
BaseRepresentation
bin111100110101101…
…0101101110101010
312021021021002021210
41321223111232222
513140044414310
6534322213550
7101405436060
oct17153255652
95237232253
102041404330
11958357319
1248b7b42b6
13266c13174
14155196030
15be340820
hex79ad5baa

2041404330 has 128 divisors (see below), whose sum is σ = 6001164288. Its totient is φ = 434218752.

The previous prime is 2041404271. The next prime is 2041404331. The reversal of 2041404330 is 334041402.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2041404297 and 2041404306.

It is not an unprimeable number, because it can be changed into a prime (2041404331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 172999 + ... + 184421.

It is an arithmetic number, because the mean of its divisors is an integer number (46884096).

Almost surely, 22041404330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2041404330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3000582144).

2041404330 is an abundant number, since it is smaller than the sum of its proper divisors (3959759958).

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

2041404330 is a wasteful number, since it uses less digits than its factorization.

2041404330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11500.

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 2041404330 is about 45181.9026823794. The cubic root of 2041404330 is about 1268.5560976536.

Adding to 2041404330 its reverse (334041402), we get a palindrome (2375445732).

The spelling of 2041404330 in words is "two billion, forty-one million, four hundred four thousand, three hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 23 30 35 37 42 46 69 70 74 105 111 115 138 161 185 210 222 230 259 322 345 370 483 518 555 690 777 805 851 966 1110 1295 1554 1610 1702 2415 2553 2590 3885 4255 4830 5106 5957 7770 8510 11423 11914 12765 17871 22846 25530 29785 34269 35742 57115 59570 68538 79961 89355 114230 159922 171345 178710 239883 262729 342690 399805 422651 479766 525458 788187 799610 845302 1199415 1267953 1313645 1576374 1839103 2113255 2398830 2535906 2627290 2958557 3678206 3940935 4226510 5517309 5917114 6339765 7881870 8875671 9195515 9720973 11034618 12679530 14792785 17751342 18391030 19441946 27586545 29162919 29585570 44378355 48604865 55173090 58325838 68046811 88756710 97209730 136093622 145814595 204140433 291629190 340234055 408280866 680468110 1020702165 2041404330