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2059320480 = 25357769797
BaseRepresentation
bin111101010111110…
…1011110010100000
312022111222022121220
41322233223302200
513204141223410
6540202215040
7102013635540
oct17257536240
95274868556
102059320480
11967483a58
124957b4480
1326a846c39
141576db320
15c0bce070
hex7abebca0

2059320480 has 192 divisors, whose sum is σ = 7432508160. Its totient is φ = 469499904.

The previous prime is 2059320469. The next prime is 2059320481. The reversal of 2059320480 is 840239502.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2059320481) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2583442 + ... + 2584238.

It is an arithmetic number, because the mean of its divisors is an integer number (38710980).

Almost surely, 22059320480 is an apocalyptic number.

2059320480 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 2059320480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3716254080).

2059320480 is an abundant number, since it is smaller than the sum of its proper divisors (5373187680).

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

2059320480 is a wasteful number, since it uses less digits than its factorization.

2059320480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1591 (or 1583 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 2059320480 is about 45379.7364470090. The cubic root of 2059320480 is about 1272.2564057297.

Adding to 2059320480 its reverse (840239502), we get a palindrome (2899559982).

It can be divided in two parts, 2059320 and 480, that multiplied together give a square (988473600 = 314402).

The spelling of 2059320480 in words is "two billion, fifty-nine million, three hundred twenty thousand, four hundred eighty".