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2640755088 = 243331293673
BaseRepresentation
bin1001110101100110…
…1011100110010000
320211001001020222000
42131121223212100
520402013130323
61114012314000
7122304022266
oct23531534620
96731036860
102640755088
111135701424
12618472900
1333114239a
141b0a10436
15106c80e43
hex9d66b990

2640755088 has 160 divisors (see below), whose sum is σ = 7862830080. Its totient is φ = 847687680.

The previous prime is 2640755081. The next prime is 2640755111. The reversal of 2640755088 is 8805570462.

2640755088 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (2640755081) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3923520 + ... + 3924192.

It is an arithmetic number, because the mean of its divisors is an integer number (49142688).

Almost surely, 22640755088 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 2640755088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3931415040).

2640755088 is an abundant number, since it is smaller than the sum of its proper divisors (5222074992).

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

2640755088 is a wasteful number, since it uses less digits than its factorization.

2640755088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1014 (or 1002 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The square root of 2640755088 is about 51388.2777294589. The cubic root of 2640755088 is about 1382.2164005542.

The spelling of 2640755088 in words is "two billion, six hundred forty million, seven hundred fifty-five thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 36 48 54 62 72 93 108 124 144 186 216 248 279 293 372 432 496 558 586 673 744 837 879 1116 1172 1346 1488 1674 1758 2019 2232 2344 2637 2692 3348 3516 4038 4464 4688 5274 5384 6057 6696 7032 7911 8076 9083 10548 10768 12114 13392 14064 15822 16152 18166 18171 20863 21096 24228 27249 31644 32304 36332 36342 41726 42192 48456 54498 62589 63288 72664 72684 81747 83452 96912 108996 125178 126576 145328 145368 163494 166904 187767 197189 217992 245241 250356 290736 326988 333808 375534 394378 435984 490482 500712 563301 591567 653976 751068 788756 980964 1001424 1126602 1183134 1307952 1502136 1577512 1774701 1961928 2253204 2366268 3004272 3155024 3549402 3923856 4506408 4732536 5324103 6112859 7098804 9012816 9465072 10648206 12225718 14197608 18338577 21296412 24451436 28395216 36677154 42592824 48902872 55015731 73354308 85185648 97805744 110031462 146708616 165047193 220062924 293417232 330094386 440125848 660188772 880251696 1320377544 2640755088