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2741261120 = 265132173293
BaseRepresentation
bin1010001101100100…
…0101001101000000
321002001011111022122
42203121011031000
521103230323440
61132002423412
7124634222633
oct24331051500
97061144278
102741261120
111187409064
12646061b68
13348c02300
141c00d3c1a
151109d57b5
hexa3645340

2741261120 has 168 divisors, whose sum is σ = 7133499576. Its totient is φ = 1002872832.

The previous prime is 2741261113. The next prime is 2741261123. The reversal of 2741261120 is 211621472.

It can be written as a sum of positive squares in 12 ways, for example, as 302481664 + 2438779456 = 17392^2 + 49384^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 2741261120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2741261123) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9355694 + ... + 9355986.

It is an arithmetic number, because the mean of its divisors is an integer number (42461307).

Almost surely, 22741261120 is an apocalyptic number.

2741261120 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 2741261120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3566749788).

2741261120 is an abundant number, since it is smaller than the sum of its proper divisors (4392238456).

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

2741261120 is a wasteful number, since it uses less digits than its factorization.

2741261120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 509 (or 486 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 26.

The square root of 2741261120 is about 52357.0541570093. The cubic root of 2741261120 is about 1399.5340490200.

Adding to 2741261120 its reverse (211621472), we get a palindrome (2952882592).

The spelling of 2741261120 in words is "two billion, seven hundred forty-one million, two hundred sixty-one thousand, one hundred twenty".