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2390729796 = 22337213193159
BaseRepresentation
bin1000111001111111…
…1010010001000100
320011121120122202000
42032133322101010
514344011323141
61033121345300
7113146603500
oct21637722104
96147518660
102390729796
111017560754
12568798230
132c13c1320
14189729300
15ded445b6
hex8e7fa444

2390729796 has 576 divisors, whose sum is σ = 8580096000. Its totient is φ = 568270080.

The previous prime is 2390729743. The next prime is 2390729801. The reversal of 2390729796 is 6979270932.

2390729796 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 40520815 + ... + 40520873.

It is an arithmetic number, because the mean of its divisors is an integer number (14896000).

Almost surely, 22390729796 is an apocalyptic number.

2390729796 is a gapful number since it is divisible by the number (26) 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 2390729796, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4290048000).

2390729796 is an abundant number, since it is smaller than the sum of its proper divisors (6189366204).

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

2390729796 is a wasteful number, since it uses less digits than its factorization.

2390729796 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 2571912, while the sum is 54.

The square root of 2390729796 is about 48895.0896921153. The cubic root of 2390729796 is about 1337.1398481312.

The spelling of 2390729796 in words is "two billion, three hundred ninety million, seven hundred twenty-nine thousand, seven hundred ninety-six".