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2468884264 = 237115967931
BaseRepresentation
bin1001001100101000…
…0010111100101000
320101001122022111221
42103022002330220
520024013244024
61044552431424
7115116112210
oct22312027450
96331568457
102468884264
111057691320
1258a9a8574
13304656682
14195c71240
15e6b313e4
hex93282f28

2468884264 has 64 divisors (see below), whose sum is σ = 5869324800. Its totient is φ = 945585600.

The previous prime is 2468884241. The next prime is 2468884307. The reversal of 2468884264 is 4624888642.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2379 + ... + 70309.

It is an arithmetic number, because the mean of its divisors is an integer number (91708200).

Almost surely, 22468884264 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 2468884264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2934662400).

2468884264 is an abundant number, since it is smaller than the sum of its proper divisors (3400440536).

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

2468884264 is a wasteful number, since it uses less digits than its factorization.

2468884264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68014 (or 68010 counting only the distinct ones).

The product of its digits is 4718592, while the sum is 52.

The square root of 2468884264 is about 49687.8683785087. The cubic root of 2468884264 is about 1351.5545446687.

It can be divided in two parts, 246888 and 4264, that added together give a palindrome (251152).

The spelling of 2468884264 in words is "two billion, four hundred sixty-eight million, eight hundred eighty-four thousand, two hundred sixty-four".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 59 77 88 118 154 236 308 413 472 616 649 826 1298 1652 2596 3304 4543 5192 9086 18172 36344 67931 135862 271724 475517 543448 747241 951034 1494482 1902068 2988964 3804136 4007929 5230687 5977928 8015858 10461374 16031716 20922748 28055503 32063432 41845496 44087219 56111006 88174438 112222012 176348876 224444024 308610533 352697752 617221066 1234442132 2468884264