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2540051020 = 22513101197491
BaseRepresentation
bin1001011101100110…
…0001101001001100
320120000112221221201
42113121201221030
520200223113040
61100014035244
7116642035363
oct22731415114
96500487851
102540051020
111093879a21
125aa7a8b24
13316313290
141a14b87da
15ecedca9a
hex97661a4c

2540051020 has 96 divisors (see below), whose sum is σ = 5842622016. Its totient is φ = 921984000.

The previous prime is 2540050969. The next prime is 2540051051. The reversal of 2540051020 is 201500452.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5172975 + ... + 5173465.

It is an arithmetic number, because the mean of its divisors is an integer number (60860646).

Almost surely, 22540051020 is an apocalyptic number.

2540051020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2540051020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2921311008).

2540051020 is an abundant number, since it is smaller than the sum of its proper divisors (3302570996).

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

2540051020 is a wasteful number, since it uses less digits than its factorization.

2540051020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 811 (or 809 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 19.

The square root of 2540051020 is about 50398.9188376100. The cubic root of 2540051020 is about 1364.4181251537.

Adding to 2540051020 its reverse (201500452), we get a palindrome (2741551472).

It can be divided in two parts, 254005 and 1020, that added together give a square (255025 = 5052).

The spelling of 2540051020 in words is "two billion, five hundred forty million, fifty-one thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 101 130 197 202 260 394 404 491 505 788 982 985 1010 1313 1964 1970 2020 2455 2561 2626 3940 4910 5122 5252 6383 6565 9820 10244 12766 12805 13130 19897 25532 25610 26260 31915 39794 49591 51220 63830 79588 96727 99182 99485 127660 193454 198364 198970 247955 258661 386908 397940 483635 495910 517322 644683 967270 991820 1034644 1257451 1289366 1293305 1934540 2514902 2578732 2586610 3223415 5029804 5173220 6287255 6446830 9769427 12574510 12893660 19538854 25149020 39077708 48847135 97694270 127002551 195388540 254005102 508010204 635012755 1270025510 2540051020