2540419200 has 648 divisors, whose sum is σ = 10346482965. Its totient is φ = 615859200.

The previous prime is 2540419159. The next prime is 2540419229. The reversal of 2540419200 is 29140452.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

2540419200 is a `hidden beast` number, since 2 + 5 + 40 + 419 + 200 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2489610816 + 50808384 = 49896^2 + 7128^2 .

It is a tau number, because it is divible by the number of its divisors (648).

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=35640.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 230947195 + ... + 230947205.

Almost surely, 2^2540419200 is an apocalyptic number.

2540419200 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 2540419200

2540419200 is an abundant number, since it is smaller than the sum of its proper divisors (7806063765).

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

2540419200 is an frugal number, since it uses more digits than its factorization.

2540419200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 2540419200 is about 50402.5713629771. The cubic root of 2540419200 is about 1364.4840460337.

Adding to 2540419200 its reverse (29140452), we get a palindrome (2569559652).

The spelling of 2540419200 in words is "two billion, five hundred forty million, four hundred nineteen thousand, two hundred".