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2520468040 = 2351092931973
BaseRepresentation
bin1001011000111011…
…0100101001001000
320111122201001011011
42112032310221020
520130214434130
61054034213304
7116313424216
oct22616645110
96448631134
102520468040
111083813a42
125a4124234
1331224790c
1419ca5bcb6
15eb42052a
hex963b4a48

2520468040 has 64 divisors (see below), whose sum is σ = 5745524400. Its totient is φ = 995023872.

The previous prime is 2520468001. The next prime is 2520468043. The reversal of 2520468040 is 408640252.

It can be written as a sum of positive squares in 8 ways, for example, as 1643005156 + 877462884 = 40534^2 + 29622^2 .

It is a super-2 number, since 2×25204680402 = 12705518281322883200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2520467993 and 2520468011.

It is not an unprimeable number, because it can be changed into a prime (2520468043) 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, 1276494 + ... + 1278466.

Almost surely, 22520468040 is an apocalyptic number.

2520468040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2520468040 is an abundant number, since it is smaller than the sum of its proper divisors (3225056360).

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

2520468040 is a wasteful number, since it uses less digits than its factorization.

2520468040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2386 (or 2382 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 31.

The square root of 2520468040 is about 50204.2631655918. The cubic root of 2520468040 is about 1360.9026663160.

The spelling of 2520468040 in words is "two billion, five hundred twenty million, four hundred sixty-eight thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 109 218 293 436 545 586 872 1090 1172 1465 1973 2180 2344 2930 3946 4360 5860 7892 9865 11720 15784 19730 31937 39460 63874 78920 127748 159685 215057 255496 319370 430114 578089 638740 860228 1075285 1156178 1277480 1720456 2150570 2312356 2890445 4301140 4624712 5780890 8602280 11561780 23123560 63011701 126023402 252046804 315058505 504093608 630117010 1260234020 2520468040