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2660541660 = 2233574117167
BaseRepresentation
bin1001111010010100…
…1010010011011100
320212102021112001000
42132211022103130
520422044313120
61120000350300
7122634142140
oct23645122334
96772245030
102660541660
111145896367
12623015390
1333527c60a
141b34c1220
1510888d990
hex9e94a4dc

2660541660 has 192 divisors, whose sum is σ = 9690992640. Its totient is φ = 593256960.

The previous prime is 2660541641. The next prime is 2660541661. The reversal of 2660541660 is 661450662.

It is a happy number.

2660541660 is a `hidden beast` number, since 2 + 6 + 605 + 41 + 6 + 6 + 0 = 666.

2660541660 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2660541661) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 146397 + ... + 163563.

It is an arithmetic number, because the mean of its divisors is an integer number (50473920).

Almost surely, 22660541660 is an apocalyptic number.

2660541660 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 2660541660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4845496320).

2660541660 is an abundant number, since it is smaller than the sum of its proper divisors (7030450980).

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

2660541660 is a wasteful number, since it uses less digits than its factorization.

2660541660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17233 (or 17225 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 2660541660 is about 51580.4387340783. The cubic root of 2660541660 is about 1385.6600241824.

It can be divided in two parts, 26605 and 41660, that added together give a triangular number (68265 = T369).

The spelling of 2660541660 in words is "two billion, six hundred sixty million, five hundred forty-one thousand, six hundred sixty".