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2667056424 = 2331743281541
BaseRepresentation
bin1001111011111000…
…0000110100101000
320212212112111121120
42132332000310220
520430231301144
61120352135240
7123043414464
oct23676006450
96785474546
102667056424
111149535a6a
12625237520
133367209c6
141b42d94a4
15109228e19
hex9ef80d28

2667056424 has 128 divisors (see below), whose sum is σ = 7263146880. Its totient is φ = 812851200.

The previous prime is 2667056423. The next prime is 2667056453. The reversal of 2667056424 is 4246507662.

It is a super-2 number, since 2×26670564242 = 14226379937599335552, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2667056423) 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, 4929594 + ... + 4930134.

It is an arithmetic number, because the mean of its divisors is an integer number (56743335).

Almost surely, 22667056424 is an apocalyptic number.

2667056424 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 2667056424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3631573440).

2667056424 is an abundant number, since it is smaller than the sum of its proper divisors (4596090456).

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

2667056424 is a wasteful number, since it uses less digits than its factorization.

2667056424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 891 (or 887 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 42.

The square root of 2667056424 is about 51643.5516207009. The cubic root of 2667056424 is about 1386.7901060703.

The spelling of 2667056424 in words is "two billion, six hundred sixty-seven million, fifty-six thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 17 24 34 43 51 68 86 102 129 136 172 204 258 281 344 408 516 541 562 731 843 1032 1082 1124 1462 1623 1686 2164 2193 2248 2924 3246 3372 4328 4386 4777 5848 6492 6744 8772 9197 9554 12083 12984 14331 17544 18394 19108 23263 24166 27591 28662 36249 36788 38216 46526 48332 55182 57324 69789 72498 73576 93052 96664 110364 114648 139578 144996 152021 186104 205411 220728 279156 289992 304042 395471 410822 456063 558312 608084 616233 790942 821644 912126 1186413 1216168 1232466 1581884 1643288 1824252 2372826 2464932 2584357 3163768 3648504 4745652 4929864 5168714 6536903 7753071 9491304 10337428 13073806 15506142 19610709 20674856 26147612 31012284 39221418 52295224 62024568 78442836 111127351 156885672 222254702 333382053 444509404 666764106 889018808 1333528212 2667056424