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2420564412 = 2237113271941
BaseRepresentation
bin1001000001000110…
…1110000110111100
320020200201102010210
42100101232012330
514424131030122
61040105032420
7113661313050
oct22021560674
96220642123
102420564412
111032388962
12576785710
132c7638c46
1418d693c60
15e278940c
hex9046e1bc

2420564412 has 96 divisors (see below), whose sum is σ = 6542936064. Its totient is φ = 682214400.

The previous prime is 2420564411. The next prime is 2420564429. The reversal of 2420564412 is 2144650242.

It is a self number, because there is not a number n which added to its sum of digits gives 2420564412.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2420564411) 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, 2571862 + ... + 2572802.

It is an arithmetic number, because the mean of its divisors is an integer number (68155584).

Almost surely, 22420564412 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 2420564412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3271468032).

2420564412 is an abundant number, since it is smaller than the sum of its proper divisors (4122371652).

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

2420564412 is a wasteful number, since it uses less digits than its factorization.

2420564412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1339 (or 1337 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

The square root of 2420564412 is about 49199.2318232714. The cubic root of 2420564412 is about 1342.6790561848.

The spelling of 2420564412 in words is "two billion, four hundred twenty million, five hundred sixty-four thousand, four hundred twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 113 226 271 339 452 542 678 791 813 941 1084 1356 1582 1626 1882 1897 2373 2823 3164 3252 3764 3794 4746 5646 5691 6587 7588 9492 11292 11382 13174 19761 22764 26348 30623 39522 61246 79044 91869 106333 122492 183738 212666 214361 255011 318999 367476 425332 428722 510022 637998 643083 744331 765033 857444 1020044 1275996 1286166 1488662 1530066 1785077 2232993 2572332 2977324 3060132 3570154 4465986 5355231 7140308 8931972 10710462 21420924 28816243 57632486 86448729 115264972 172897458 201713701 345794916 403427402 605141103 806854804 1210282206 2420564412