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2402640060 = 22351910719697
BaseRepresentation
bin1000111100110101…
…0110000010111100
320012102222202112220
42033031112002330
514410033440220
61034224525340
7113353050342
oct21715260274
96172882486
102402640060
111023256047
12570780850
132c3a01512
1418b149992
15e0de8540
hex8f3560bc

2402640060 has 96 divisors (see below), whose sum is σ = 7148010240. Its totient is φ = 601279488.

The previous prime is 2402640059. The next prime is 2402640077. The reversal of 2402640060 is 600462042.

2402640060 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 2402640060.

It is a congruent number.

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, 112132 + ... + 131828.

It is an arithmetic number, because the mean of its divisors is an integer number (74458440).

Almost surely, 22402640060 is an apocalyptic number.

2402640060 is a gapful number since it is divisible by the number (20) 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 2402640060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3574005120).

2402640060 is an abundant number, since it is smaller than the sum of its proper divisors (4745370180).

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

2402640060 is a wasteful number, since it uses less digits than its factorization.

2402640060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19835 (or 19833 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 2402640060 is about 49016.7324492361. The cubic root of 2402640060 is about 1339.3566489169.

The spelling of 2402640060 in words is "two billion, four hundred two million, six hundred forty thousand, sixty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 107 114 190 214 228 285 321 380 428 535 570 642 1070 1140 1284 1605 2033 2140 3210 4066 6099 6420 8132 10165 12198 19697 20330 24396 30495 39394 40660 59091 60990 78788 98485 118182 121980 196970 236364 295455 374243 393940 590910 748486 1122729 1181820 1496972 1871215 2107579 2245458 3742430 4215158 4490916 5613645 6322737 7484860 8430316 10537895 11227290 12645474 21075790 22454580 25290948 31613685 40044001 42151580 63227370 80088002 120132003 126454740 160176004 200220005 240264006 400440010 480528012 600660015 800880020 1201320030 2402640060