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2001421240 = 2357131943673
BaseRepresentation
bin111011101001011…
…0100001110111000
312011111000201210121
41313102310032320
513044330434430
6530333223024
7100411541230
oct16722641670
95144021717
102001421240
11937828445
1247a331a74
1325b854230
1414db48cc0
15baa93a7a
hex774b43b8

2001421240 has 256 divisors, whose sum is σ = 5978649600. Its totient is φ = 585252864.

The previous prime is 2001421229. The next prime is 2001421249. The reversal of 2001421240 is 421241002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2001421249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2973544 + ... + 2974216.

It is an arithmetic number, because the mean of its divisors is an integer number (23354100).

Almost surely, 22001421240 is an apocalyptic number.

2001421240 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 2001421240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2989324800).

2001421240 is an abundant number, since it is smaller than the sum of its proper divisors (3977228360).

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

2001421240 is a wasteful number, since it uses less digits than its factorization.

2001421240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 766 (or 762 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 2001421240 is about 44737.2466743317. The cubic root of 2001421240 is about 1260.2194209287.

Adding to 2001421240 its reverse (421241002), we get a palindrome (2422662242).

The spelling of 2001421240 in words is "two billion, one million, four hundred twenty-one thousand, two hundred forty".