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2421660384 = 25321113127463
BaseRepresentation
bin1001000001010111…
…1001101011100000
320020202210002112100
42100111321223200
514424421113014
61040144330400
7114003526233
oct22025715340
96222702470
102421660384
111032a67320
12577013a00
132c7930a50
1418d89b41a
15e2904009
hex90579ae0

2421660384 has 288 divisors, whose sum is σ = 8171864064. Its totient is φ = 670602240.

The previous prime is 2421660347. The next prime is 2421660413. The reversal of 2421660384 is 4830661242.

2421660384 is a `hidden beast` number, since 2 + 4 + 216 + 60 + 384 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 5230137 + ... + 5230599.

It is an arithmetic number, because the mean of its divisors is an integer number (28374528).

Almost surely, 22421660384 is an apocalyptic number.

2421660384 is a gapful number since it is divisible by the number (24) 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 2421660384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4085932032).

2421660384 is an abundant number, since it is smaller than the sum of its proper divisors (5750203680).

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

2421660384 is a wasteful number, since it uses less digits than its factorization.

2421660384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 630 (or 619 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 2421660384 is about 49210.3686635246. The cubic root of 2421660384 is about 1342.8816696204.

The spelling of 2421660384 in words is "two billion, four hundred twenty-one million, six hundred sixty thousand, three hundred eighty-four".