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2604491664 = 2431723731901
BaseRepresentation
bin1001101100111101…
…0110001110010000
320201111210212220020
42123033112032100
520313222213124
61110235143440
7121353546105
oct23317261620
96644725806
102604491664
111117193155
126082a4b80
13326786538
141a9c90aac
151039bb379
hex9b3d6390

2604491664 has 160 divisors (see below), whose sum is σ = 7539588864. Its totient is φ = 770457600.

The previous prime is 2604491657. The next prime is 2604491689. The reversal of 2604491664 is 4661944062.

2604491664 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1369114 + ... + 1371014.

Almost surely, 22604491664 is an apocalyptic number.

2604491664 is a gapful number since it is divisible by the number (24) 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 2604491664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3769794432).

2604491664 is an abundant number, since it is smaller than the sum of its proper divisors (4935097200).

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

2604491664 is a wasteful number, since it uses less digits than its factorization.

2604491664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2025 (or 2019 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 42.

The square root of 2604491664 is about 51034.2205191771. The cubic root of 2604491664 is about 1375.8602509281.

The spelling of 2604491664 in words is "two billion, six hundred four million, four hundred ninety-one thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 17 23 24 34 46 48 51 68 69 73 92 102 136 138 146 184 204 219 272 276 292 368 391 408 438 552 584 782 816 876 1104 1168 1173 1241 1564 1679 1752 1901 2346 2482 3128 3358 3504 3723 3802 4692 4964 5037 5703 6256 6716 7446 7604 9384 9928 10074 11406 13432 14892 15208 18768 19856 20148 22812 26864 28543 29784 30416 32317 40296 43723 45624 57086 59568 64634 80592 85629 87446 91248 96951 114172 129268 131169 138773 171258 174892 193902 228344 258536 262338 277546 342516 349784 387804 416319 456688 517072 524676 555092 685032 699568 743291 775608 832638 1049352 1110184 1370064 1486582 1551216 1665276 2098704 2220368 2229873 2359141 2973164 3191779 3330552 4459746 4718282 5946328 6383558 6661104 7077423 8919492 9436564 9575337 11892656 12767116 14154846 17838984 18873128 19150674 25534232 28309692 35677968 37746256 38301348 51068464 54260243 56619384 76602696 108520486 113238768 153205392 162780729 217040972 325561458 434081944 651122916 868163888 1302245832 2604491664