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2420865664 = 2774165899
BaseRepresentation
bin1001000001001011…
…0111101010000000
320020201021201101021
42100102313222000
514424220200124
61040115315224
7113664006250
oct22022675200
96221251337
102420865664
111032574228
125768abb14
132c77130b9
1418d731960
15e27e87e4
hex904b7a80

2420865664 has 64 divisors (see below), whose sum is σ = 5646312000. Its totient is φ = 1012193280.

The previous prime is 2420865647. The next prime is 2420865697. The reversal of 2420865664 is 4665680242.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 2420865664.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3787 + ... + 69685.

It is an arithmetic number, because the mean of its divisors is an integer number (88223625).

Almost surely, 22420865664 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 2420865664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2823156000).

2420865664 is an abundant number, since it is smaller than the sum of its proper divisors (3225446336).

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

2420865664 is an equidigital number, since it uses as much as digits as its factorization.

2420865664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65961 (or 65949 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 43.

The square root of 2420865664 is about 49202.2932798869. The cubic root of 2420865664 is about 1342.7347550362.

The spelling of 2420865664 in words is "two billion, four hundred twenty million, eight hundred sixty-five thousand, six hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 41 56 64 82 112 128 164 224 287 328 448 574 656 896 1148 1312 2296 2624 4592 5248 9184 18368 36736 65899 131798 263596 461293 527192 922586 1054384 1845172 2108768 2701859 3690344 4217536 5403718 7380688 8435072 10807436 14761376 18913013 21614872 29522752 37826026 43229744 59045504 75652052 86459488 151304104 172918976 302608208 345837952 605216416 1210432832 2420865664