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2090484000 = 253253115279
BaseRepresentation
bin111110010011010…
…0100000100100000
312101200121120221100
41330212210010200
513240130442000
6543234154400
7102542551353
oct17446440440
95350546840
102090484000
11983029630
124a4122a00
132741386a7
1415b8d029a
15c37d7a00
hex7c9a4120

2090484000 has 288 divisors, whose sum is σ = 8095127040. Its totient is φ = 506688000.

The previous prime is 2090483981. The next prime is 2090484013. The reversal of 2090484000 is 4840902.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 393361 + ... + 398639.

It is an arithmetic number, because the mean of its divisors is an integer number (28108080).

Almost surely, 22090484000 is an apocalyptic number.

2090484000 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 2090484000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4047563520).

2090484000 is an abundant number, since it is smaller than the sum of its proper divisors (6004643040).

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

2090484000 is a wasteful number, since it uses less digits than its factorization.

2090484000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5321 (or 5300 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 2090484000 is about 45721.8109877551. The cubic root of 2090484000 is about 1278.6419515808.

The spelling of 2090484000 in words is "two billion, ninety million, four hundred eighty-four thousand".