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2061234000 = 243353721941
BaseRepresentation
bin111101011011011…
…1110111101010000
312022122120112111000
41322312332331100
513210133442000
6540311222000
7102036125400
oct17266767520
95278515430
102061234000
11968570681
12496377900
1326b066bb7
14157a78800
15c0e5b000
hex7adbef50

2061234000 has 960 divisors, whose sum is σ = 9261907200. Its totient is φ = 435456000.

The previous prime is 2061233963. The next prime is 2061234001. The reversal of 2061234000 is 4321602.

It is a happy number.

2061234000 is a `hidden beast` number, since 20 + 612 + 34 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2061234001) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 50273980 + ... + 50274020.

It is an arithmetic number, because the mean of its divisors is an integer number (9647820).

Almost surely, 22061234000 is an apocalyptic number.

2061234000 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 2061234000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4630953600).

2061234000 is an abundant number, since it is smaller than the sum of its proper divisors (7200673200).

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

2061234000 is a wasteful number, since it uses less digits than its factorization.

2061234000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2061234000 is about 45400.8149706588. The cubic root of 2061234000 is about 1272.6503438350.

Adding to 2061234000 its reverse (4321602), we get a palindrome (2065555602).

The spelling of 2061234000 in words is "two billion, sixty-one million, two hundred thirty-four thousand".