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2573079040 = 29571391033
BaseRepresentation
bin1001100101011110…
…0001001000000000
320122022200221212201
42121113201020000
520232202012130
61103154002544
7120522545110
oct23127411000
96568627781
102573079040
111100488404
125b9876454
1332010859c
141a5a35040
15100d63bca
hex995e1200

2573079040 has 160 divisors (see below), whose sum is σ = 7108295040. Its totient is φ = 875003904.

The previous prime is 2573079001. The next prime is 2573079071. The reversal of 2573079040 is 409703752.

It is a tau number, because it is divible by the number of its divisors (160).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2490364 + ... + 2491396.

It is an arithmetic number, because the mean of its divisors is an integer number (44426844).

Almost surely, 22573079040 is an apocalyptic number.

2573079040 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 2573079040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3554147520).

2573079040 is an abundant number, since it is smaller than the sum of its proper divisors (4535216000).

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

2573079040 is a wasteful number, since it uses less digits than its factorization.

2573079040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1202 (or 1186 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 37.

The square root of 2573079040 is about 50725.5265127924. The cubic root of 2573079040 is about 1370.3064723637.

The spelling of 2573079040 in words is "two billion, five hundred seventy-three million, seventy-nine thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 139 140 160 224 256 278 280 320 448 512 556 560 640 695 896 973 1033 1112 1120 1280 1390 1792 1946 2066 2224 2240 2560 2780 3584 3892 4132 4448 4480 4865 5165 5560 7231 7784 8264 8896 8960 9730 10330 11120 14462 15568 16528 17792 17920 19460 20660 22240 28924 31136 33056 35584 36155 38920 41320 44480 57848 62272 66112 71168 72310 77840 82640 88960 115696 124544 132224 143587 144620 155680 165280 177920 231392 249088 264448 287174 289240 311360 330560 355840 462784 498176 528896 574348 578480 622720 661120 717935 925568 1005109 1148696 1156960 1245440 1322240 1435870 1851136 2010218 2297392 2313920 2490880 2644480 2871740 3702272 4020436 4594784 4627840 5025545 5743480 8040872 9189568 9255680 10051090 11486960 16081744 18379136 18511360 20102180 22973920 32163488 36758272 40204360 45947840 64326976 73516544 80408720 91895680 128653952 160817440 183791360 257307904 321634880 367582720 514615808 643269760 1286539520 2573079040