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2505028260 = 2235710159053
BaseRepresentation
bin1001010101001111…
…1011001010100100
320110120122121202110
42111103323022210
520112241401020
61052323241020
7116035250250
oct22523731244
96416577673
102505028260
111076028899
1259ab19170
1330bca0057
1419a99d260
15e9dc08e0
hex954fb2a4

2505028260 has 96 divisors (see below), whose sum is σ = 8095594752. Its totient is φ = 566899200.

The previous prime is 2505028249. The next prime is 2505028271. The reversal of 2505028260 is 628205052.

2505028260 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2505028249) and next prime (2505028271).

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 12894 + ... + 71946.

It is an arithmetic number, because the mean of its divisors is an integer number (84329112).

Almost surely, 22505028260 is an apocalyptic number.

2505028260 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 2505028260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4047797376).

2505028260 is an abundant number, since it is smaller than the sum of its proper divisors (5590566492).

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

2505028260 is a wasteful number, since it uses less digits than its factorization.

2505028260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59173 (or 59171 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The square root of 2505028260 is about 50050.2573419958. The cubic root of 2505028260 is about 1358.1181187714.

The spelling of 2505028260 in words is "two billion, five hundred five million, twenty-eight thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 101 105 140 202 210 303 404 420 505 606 707 1010 1212 1414 1515 2020 2121 2828 3030 3535 4242 6060 7070 8484 10605 14140 21210 42420 59053 118106 177159 236212 295265 354318 413371 590530 708636 826742 885795 1181060 1240113 1653484 1771590 2066855 2480226 3543180 4133710 4960452 5964353 6200565 8267420 11928706 12401130 17893059 23857412 24802260 29821765 35786118 41750471 59643530 71572236 83500942 89465295 119287060 125251413 167001884 178930590 208752355 250502826 357861180 417504710 501005652 626257065 835009420 1252514130 2505028260