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2485580000 = 25541931211
BaseRepresentation
bin1001010000100110…
…1111000011100000
320102020001112202112
42110021233003200
520042302030000
61050350334452
7115411036631
oct22411570340
96366045675
102485580000
111066055052
125944ba428
13307c50ac7
14198179888
15e832d235
hex9426f0e0

2485580000 has 240 divisors, whose sum is σ = 6675863040. Its totient is φ = 907200000.

The previous prime is 2485579997. The next prime is 2485580011. The reversal of 2485580000 is 855842.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 11779895 + ... + 11780105.

It is an arithmetic number, because the mean of its divisors is an integer number (27816096).

Almost surely, 22485580000 is an apocalyptic number.

2485580000 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 2485580000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3337931520).

2485580000 is an abundant number, since it is smaller than the sum of its proper divisors (4190283040).

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

2485580000 is a wasteful number, since it uses less digits than its factorization.

2485580000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 32.

The square root of 2485580000 is about 49855.5914617408. The cubic root of 2485580000 is about 1354.5943149008.

It can be divided in two parts, 248 and 5580000, that multiplied together give a square (1383840000 = 372002).

The spelling of 2485580000 in words is "two billion, four hundred eighty-five million, five hundred eighty thousand".