2540016000 has 384 divisors, whose sum is σ = 9432633600. Its totient is φ = 654336000.

The previous prime is 2540015987. The next prime is 2540016001. The reversal of 2540016000 is 6100452.

It is a happy number.

2540016000 is a `hidden beast` number, since 25 + 40 + 0 + 1 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2540016001) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 4463716 + ... + 4464284.

It is an arithmetic number, because the mean of its divisors is an integer number (24564150).

Almost surely, 2^2540016000 is an apocalyptic number.

2540016000 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 2540016000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4716316800).

2540016000 is an abundant number, since it is smaller than the sum of its proper divisors (6892617600).

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

2540016000 is a wasteful number, since it uses less digits than its factorization.

2540016000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 635 (or 610 counting only the distinct ones).

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

The square root of 2540016000 is about 50398.5714083247. The cubic root of 2540016000 is about 1364.4118546573.

Adding to 2540016000 its reverse (6100452), we get a palindrome (2546116452).

The spelling of 2540016000 in words is "two billion, five hundred forty million, sixteen thousand".