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2984063040 = 263257178707
BaseRepresentation
bin1011000111011101…
…0011000001000000
321200222001002221100
42301313103001000
522102410004130
61212034454400
7133643055150
oct26167230100
97628032840
102984063040
1112a1475802
126b3434400
133872c459a
14204458760
15126e96c60
hexb1dd3040

2984063040 has 336 divisors, whose sum is σ = 12421648512. Its totient is φ = 641875968.

The previous prime is 2984063039. The next prime is 2984063053. The reversal of 2984063040 is 403604892.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a junction number, because it is equal to n+sod(n) for n = 2984062986 and 2984063004.

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 47 ways as a sum of consecutive naturals, for example, 338367 + ... + 347073.

It is an arithmetic number, because the mean of its divisors is an integer number (36969192).

Almost surely, 22984063040 is an apocalyptic number.

2984063040 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 2984063040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6210824256).

2984063040 is an abundant number, since it is smaller than the sum of its proper divisors (9437585472).

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

2984063040 is a wasteful number, since it uses less digits than its factorization.

2984063040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8754 (or 8741 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 2984063040 is about 54626.5781465396. The cubic root of 2984063040 is about 1439.6911374612.

The spelling of 2984063040 in words is "two billion, nine hundred eighty-four million, sixty-three thousand, forty".