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2580480006 = 231353624209
BaseRepresentation
bin1001100111001111…
…0000000000000110
320122211121222002120
42121303300000012
520241100330011
61104020350410
7120642501216
oct23163600006
96584558076
102580480006
111104682905
12600245406
133217ca160
141a6a00246
15101826a06
hex99cf0006

2580480006 has 32 divisors (see below), whose sum is σ = 5662833120. Its totient is φ = 779011584.

The previous prime is 2580479999. The next prime is 2580480029. The reversal of 2580480006 is 6000840852.

It is a super-2 number, since 2×25804800062 = 13317754122731520072, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 307971 + ... + 316238.

It is an arithmetic number, because the mean of its divisors is an integer number (176963535).

Almost surely, 22580480006 is an apocalyptic number.

2580480006 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

2580480006 is an abundant number, since it is smaller than the sum of its proper divisors (3082353114).

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

2580480006 is a wasteful number, since it uses less digits than its factorization.

2580480006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 624280.

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 2580480006 is about 50798.4252314971. The cubic root of 2580480006 is about 1371.6190222332.

The spelling of 2580480006 in words is "two billion, five hundred eighty million, four hundred eighty thousand, six".

Divisors: 1 2 3 6 13 26 39 53 78 106 159 318 689 1378 2067 4134 624209 1248418 1872627 3745254 8114717 16229434 24344151 33083077 48688302 66166154 99249231 198498462 430080001 860160002 1290240003 2580480006