2540160000 has 825 divisors, whose sum is σ = 11026282179. Its totient is φ = 580608000.

The previous prime is 2540159959. The next prime is 2540160011. The reversal of 2540160000 is 610452.

It is a happy number.

The square root of 2540160000 is 50400.

It is a perfect power (a square), and thus also a powerful number.

2540160000 is a `hidden beast` number, since 25 + 40 + 1 + 600 + 0 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 199148544 + 2341011456 = 14112^2 + 48384^2 .

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 (13) of ones.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 362879997 + ... + 362880003.

Almost surely, 2^2540160000 is an apocalyptic number.

2540160000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2540160000 is the 50400-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2540160000

2540160000 is an abundant number, since it is smaller than the sum of its proper divisors (8486122179).

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

2540160000 is an frugal number, since it uses more digits than its factorization.

2540160000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66 (or 17 counting only the distinct ones).

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

The cubic root of 2540160000 is about 1364.4376381687.

Adding to 2540160000 its reverse (610452), we get a palindrome (2540770452).

The spelling of 2540160000 in words is "two billion, five hundred forty million, one hundred sixty thousand".