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2544104340 = 2232514133913
BaseRepresentation
bin1001011110100011…
…1111001110010100
320120022011220001200
42113220333032110
520202242314330
61100240552500
7120021346551
oct22750771624
96508156050
102544104340
111096098278
125b0022730
133171021ab
141a1c51a28
15ed53da60
hex97a3f394

2544104340 has 36 divisors (see below), whose sum is σ = 7717117044. Its totient is φ = 678427776.

The previous prime is 2544104333. The next prime is 2544104341. The reversal of 2544104340 is 434014452.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 749226384 + 1794877956 = 27372^2 + 42366^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-3 number, since 3×25441043403 (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2544104341) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7066777 + ... + 7067136.

Almost surely, 22544104340 is an apocalyptic number.

2544104340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2544104340 is an abundant number, since it is smaller than the sum of its proper divisors (5173012704).

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

2544104340 is a wasteful number, since it uses less digits than its factorization.

2544104340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14133928 (or 14133923 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 2544104340 is about 50439.1151785992. The cubic root of 2544104340 is about 1365.1435022017.

Adding to 2544104340 its reverse (434014452), we get a palindrome (2978118792).

The spelling of 2544104340 in words is "two billion, five hundred forty-four million, one hundred four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 14133913 28267826 42401739 56535652 70669565 84803478 127205217 141339130 169606956 212008695 254410434 282678260 424017390 508820868 636026085 848034780 1272052170 2544104340