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2990819364 = 22313231113421
BaseRepresentation
bin1011001001000100…
…0100100000100100
321201102202100212120
42302101010200210
522111122204424
61212435345540
7134054354661
oct26221044044
97642670776
102990819364
1112a526a945
126b57522b0
1338881b900
142052d6a68
1512787da79
hexb2444824

2990819364 has 144 divisors (see below), whose sum is σ = 7888172544. Its totient is φ = 880588800.

The previous prime is 2990819353. The next prime is 2990819369. The reversal of 2990819364 is 4639180992.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2990819369) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7103874 + ... + 7104294.

It is an arithmetic number, because the mean of its divisors is an integer number (54778976).

Almost surely, 22990819364 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 2990819364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3944086272).

2990819364 is an abundant number, since it is smaller than the sum of its proper divisors (4897353180).

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

2990819364 is a wasteful number, since it uses less digits than its factorization.

2990819364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 598 (or 583 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 51.

The square root of 2990819364 is about 54688.3841779952. The cubic root of 2990819364 is about 1440.7768705457.

The spelling of 2990819364 in words is "two billion, nine hundred ninety million, eight hundred nineteen thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 12 13 26 31 39 52 62 78 93 113 124 156 169 186 226 338 339 372 403 421 452 507 676 678 806 842 1014 1209 1263 1356 1469 1612 1684 2028 2418 2526 2938 3503 4407 4836 5052 5239 5473 5876 7006 8814 10478 10509 10946 13051 14012 15717 16419 17628 19097 20956 21018 21892 26102 31434 32838 38194 39153 42036 45539 47573 52204 57291 62868 65676 71149 76388 78306 91078 95146 114582 136617 142298 142719 156612 169663 182156 190292 213447 229164 273234 284596 285438 339326 426894 508989 546468 570876 592007 618449 678652 853788 1017978 1184014 1236898 1474763 1776021 1855347 2035956 2205619 2368028 2473796 2949526 3552042 3710694 4411238 4424289 5899052 6616857 7104084 7421388 8039837 8822476 8848578 13233714 16079674 17697156 19171919 24119511 26467428 32159348 38343838 48239022 57515757 76687676 96478044 115031514 230063028 249234947 498469894 747704841 996939788 1495409682 2990819364