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2067422592 = 273103167313
BaseRepresentation
bin111101100111010…
…0101110110000000
312100002012221122010
41323032211312000
513213230010332
6541052012520
7102142542054
oct17316456600
95302187563
102067422592
11971008214
12498461140
1326c4229a1
14158809c64
15c177e9cc
hex7b3a5d80

2067422592 has 128 divisors (see below), whose sum is σ = 5595932160. Its totient is φ = 676196352.

The previous prime is 2067422587. The next prime is 2067422611. The reversal of 2067422592 is 2952247602.

2067422592 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2067422592.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6605028 + ... + 6605340.

It is an arithmetic number, because the mean of its divisors is an integer number (43718220).

Almost surely, 22067422592 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 2067422592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2797966080).

2067422592 is an abundant number, since it is smaller than the sum of its proper divisors (3528509568).

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

2067422592 is a wasteful number, since it uses less digits than its factorization.

2067422592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 600 (or 588 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The square root of 2067422592 is about 45468.9189666964. The cubic root of 2067422592 is about 1273.9227280340.

The spelling of 2067422592 in words is "two billion, sixty-seven million, four hundred twenty-two thousand, five hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 103 128 167 192 206 309 313 334 384 412 501 618 626 668 824 939 1002 1236 1252 1336 1648 1878 2004 2472 2504 2672 3296 3756 4008 4944 5008 5344 6592 7512 8016 9888 10016 10688 13184 15024 16032 17201 19776 20032 21376 30048 32064 32239 34402 39552 40064 51603 52271 60096 64128 64478 68804 96717 103206 104542 120192 128956 137608 156813 193434 206412 209084 257912 275216 313626 386868 412824 418168 515824 550432 627252 773736 825648 836336 1031648 1100864 1254504 1547472 1651296 1672672 2063296 2201728 2509008 3094944 3302592 3345344 4126592 5018016 5383913 6189888 6605184 6690688 10036032 10767826 12379776 16151739 20072064 21535652 32303478 43071304 64606956 86142608 129213912 172285216 258427824 344570432 516855648 689140864 1033711296 2067422592