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2540160 = 2734572

2540160 has 240 divisors, whose sum is σ = 10552410. Its totient is φ = 580608.

The previous prime is 2540141. The next prime is 2540173. The reversal of 2540160 is 610452.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 2286144 + 254016 = 1512^2 + 504^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 362877 + ... + 362883.

22540160 is an apocalyptic number.

2540160 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 2540160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5276205).

2540160 is an abundant number, since it is smaller than the sum of its proper divisors (8012250).

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

2540160 is an equidigital number, since it uses as much as digits as its factorization.

2540160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 2540160 is about 1593.7879407249. The cubic root of 2540160 is about 136.4437638169.

The spelling of 2540160 in words is "two million, five hundred forty thousand, one hundred sixty".