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2041940352 = 27361179487
BaseRepresentation
bin111100110110101…
…1000100110000000
312021022021022120110
41321231120212000
513140214042402
6534341511320
7101413130604
oct17155304600
95238238513
102041940352
11958693011
1248ba12540
1326707013a
14155295504
15be3e956c
hex79b58980

2041940352 has 128 divisors (see below), whose sum is σ = 5555001600. Its totient is φ = 664381440.

The previous prime is 2041940339. The next prime is 2041940357. The reversal of 2041940352 is 2530491402.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×20419403522 = 8339040802251767808, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2041940357) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4192653 + ... + 4193139.

It is an arithmetic number, because the mean of its divisors is an integer number (43398450).

Almost surely, 22041940352 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 2041940352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2777500800).

2041940352 is an abundant number, since it is smaller than the sum of its proper divisors (3513061248).

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

2041940352 is a wasteful number, since it uses less digits than its factorization.

2041940352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 744 (or 732 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 2041940352 is about 45187.8341149474. The cubic root of 2041940352 is about 1268.6671183630.

The spelling of 2041940352 in words is "two billion, forty-one million, nine hundred forty thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 61 64 96 122 128 179 183 192 244 358 366 384 487 488 537 716 732 974 976 1074 1432 1461 1464 1948 1952 2148 2864 2922 2928 3896 3904 4296 5728 5844 5856 7792 7808 8592 10919 11456 11688 11712 15584 17184 21838 22912 23376 23424 29707 31168 32757 34368 43676 46752 59414 62336 65514 68736 87173 87352 89121 93504 118828 131028 174346 174704 178242 187008 237656 261519 262056 348692 349408 356484 475312 523038 524112 697384 698816 712968 950624 1046076 1048224 1394768 1397632 1425936 1901248 2092152 2096448 2789536 2851872 3802496 4184304 4192896 5317553 5579072 5703744 8368608 10635106 11158144 11407488 15952659 16737216 21270212 31905318 33474432 42540424 63810636 85080848 127621272 170161696 255242544 340323392 510485088 680646784 1020970176 2041940352