Search a number
-
+
2010580740 = 22325723761101
BaseRepresentation
bin111011111010111…
…0000011100000100
312012010021002021100
41313311300130010
513104202040430
6531301420100
7100552440300
oct16765603404
95163232240
102010580740
11941a14083
1248140a630
1326071035c
14151050d00
15bb7a2960
hex77d70704

2010580740 has 432 divisors, whose sum is σ = 7478990064. Its totient is φ = 435456000.

The previous prime is 2010580739. The next prime is 2010580753. The reversal of 2010580740 is 470850102.

2010580740 is a `hidden beast` number, since 2 + 0 + 10 + 580 + 74 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 43480836 + 1967099904 = 6594^2 + 44352^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 19906690 + ... + 19906790.

It is an arithmetic number, because the mean of its divisors is an integer number (17312477).

Almost surely, 22010580740 is an apocalyptic number.

2010580740 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 2010580740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3739495032).

2010580740 is an abundant number, since it is smaller than the sum of its proper divisors (5468409324).

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

2010580740 is a wasteful number, since it uses less digits than its factorization.

2010580740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 2010580740 is about 44839.4997741946. The cubic root of 2010580740 is about 1262.1389594684.

The spelling of 2010580740 in words is "two billion, ten million, five hundred eighty thousand, seven hundred forty".