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2420440242 = 2311191192007
BaseRepresentation
bin1001000001000100…
…1111110010110010
320020200111002210220
42100101033302302
514424113041432
61040102233510
7113660255043
oct22021176262
96220432726
102420440242
111032303640
12576725896
132c75c457c
1418d6608ca
15e276272c
hex9044fcb2

2420440242 has 32 divisors (see below), whose sum is σ = 5308637184. Its totient is φ = 729622800.

The previous prime is 2420440241. The next prime is 2420440247.

2420440242 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (2420440241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 83398 + ... + 108609.

It is an arithmetic number, because the mean of its divisors is an integer number (165894912).

Almost surely, 22420440242 is an apocalyptic number.

2420440242 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2420440242 is an abundant number, since it is smaller than the sum of its proper divisors (2888196942).

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

2420440242 is a wasteful number, since it uses less digits than its factorization.

2420440242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192214.

The product of its (nonzero) digits is 4096, while the sum is 24.

The square root of 2420440242 is about 49197.9698971411. The cubic root of 2420440242 is about 1342.6560968964.

It can be divided in two parts, 24204 and 40242, that added together give a palindrome (64446).

The spelling of 2420440242 in words is "two billion, four hundred twenty million, four hundred forty thousand, two hundred forty-two".

Divisors: 1 2 3 6 11 22 33 66 191 382 573 1146 2101 4202 6303 12606 192007 384014 576021 1152042 2112077 4224154 6336231 12672462 36673337 73346674 110020011 220040022 403406707 806813414 1210220121 2420440242