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2040572589440 = 2757211311731103
BaseRepresentation
bin11101101100011011100…
…110101011010110000000
321020002002000022221111212
4131230123212223112000
5231413043040330230
64201232012225252
7300266201552600
oct35543346532600
97202060287455
102040572589440
11717447035840
1228b58776b228
1311a56b136048
1470a9b10ac00
153812edba895
hex1db1b9ab580

2040572589440 has 768 divisors, whose sum is σ = 6433033789440. Its totient is φ = 611393126400.

The previous prime is 2040572589439. The next prime is 2040572589449. The reversal of 2040572589440 is 449852750402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2040572589449) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1850019929 + ... + 1850021031.

It is an arithmetic number, because the mean of its divisors is an integer number (8376346080).

Almost surely, 22040572589440 is an apocalyptic number.

2040572589440 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 2040572589440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3216516894720).

2040572589440 is an abundant number, since it is smaller than the sum of its proper divisors (4392461200000).

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

2040572589440 is a wasteful number, since it uses less digits than its factorization.

2040572589440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1351 (or 1332 counting only the distinct ones).

The product of its (nonzero) digits is 3225600, while the sum is 50.

The spelling of 2040572589440 in words is "two trillion, forty billion, five hundred seventy-two million, five hundred eighty-nine thousand, four hundred forty".