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2040053760 = 2143252767
BaseRepresentation
bin111100110011000…
…1100000000000000
312021011201110122200
41321212030000000
513134223210020
6534233233200
7101361112413
oct17146140000
95234643580
102040053760
11957614648
1248b262800
1326685c504
14154d23b7a
15be175590
hex7998c000

2040053760 has 180 divisors, whose sum is σ = 7074526368. Its totient is φ = 543817728.

The previous prime is 2040053723. The next prime is 2040053803. The reversal of 2040053760 is 673500402.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (180).

It is a zygodrome in base 2.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 735897 + ... + 738663.

Almost surely, 22040053760 is an apocalyptic number.

2040053760 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 2040053760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3537263184).

2040053760 is an abundant number, since it is smaller than the sum of its proper divisors (5034472608).

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

2040053760 is an equidigital number, since it uses as much as digits as its factorization.

2040053760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2806 (or 2777 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 2040053760 is about 45166.9542918271. The cubic root of 2040053760 is about 1268.2762818180.

The spelling of 2040053760 in words is "two billion, forty million, fifty-three thousand, seven hundred sixty".