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2506466620 = 225724915209
BaseRepresentation
bin1001010101100101…
…1010010100111100
320110200100200211001
42111121122110330
520113123412440
61052414140044
7116053420600
oct22531322474
96420320731
102506466620
111076920519
1259b4b1624
1330c384958
1419ac55500
15ea0a6b9a
hex9565a53c

2506466620 has 72 divisors (see below), whose sum is σ = 6136588080. Its totient is φ = 857445120.

The previous prime is 2506466609. The next prime is 2506466629. The reversal of 2506466620 is 266646052.

It is a happy number.

2506466620 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 2506466620.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2506466629) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 478576 + ... + 483784.

It is an arithmetic number, because the mean of its divisors is an integer number (85230390).

Almost surely, 22506466620 is an apocalyptic number.

2506466620 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 2506466620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3068294040).

2506466620 is an abundant number, since it is smaller than the sum of its proper divisors (3630121460).

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

2506466620 is a wasteful number, since it uses less digits than its factorization.

2506466620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5723 (or 5714 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 37.

The square root of 2506466620 is about 50064.6244368217. The cubic root of 2506466620 is about 1358.3780079234.

The spelling of 2506466620 in words is "two billion, five hundred six million, four hundred sixty-six thousand, six hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 490 491 980 982 1964 2455 3437 4910 5209 6874 9820 10418 13748 17185 20836 24059 26045 34370 36463 48118 52090 68740 72926 96236 104180 120295 145852 182315 240590 255241 364630 481180 510482 729260 1020964 1276205 2552410 2557619 5104820 5115238 10230476 12788095 17903333 25576190 35806666 51152380 71613332 89516665 125323331 179033330 250646662 358066660 501293324 626616655 1253233310 2506466620