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2001594001440 = 2535112271669999
BaseRepresentation
bin11101001000001000010…
…011001010100000100000
321002100110112020111212110
4131020020103022200200
5230243231031021230
64131304121555320
7264416236202415
oct35101023124040
97070415214773
102001594001440
117019646a5750
12283b09945b40
131169988799a7
146cc4046210c
15370ecde44b0
hex1d2084ca820

2001594001440 has 192 divisors, whose sum is σ = 6908509440000. Its totient is φ = 483097021440.

The previous prime is 2001594001417. The next prime is 2001594001447. The reversal of 2001594001440 is 441004951002.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2001594001398 and 2001594001407.

It is not an unprimeable number, because it can be changed into a prime (2001594001447) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 363561 + ... + 2033559.

It is an arithmetic number, because the mean of its divisors is an integer number (35981820000).

Almost surely, 22001594001440 is an apocalyptic number.

2001594001440 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 2001594001440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3454254720000).

2001594001440 is an abundant number, since it is smaller than the sum of its proper divisors (4906915438560).

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

2001594001440 is a wasteful number, since it uses less digits than its factorization.

2001594001440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1670255 (or 1670247 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

Adding to 2001594001440 its reverse (441004951002), we get a palindrome (2442598952442).

The spelling of 2001594001440 in words is "two trillion, one billion, five hundred ninety-four million, one thousand, four hundred forty".