2540059200 has 504 divisors, whose sum is σ = 10455664128. Its totient is φ = 572866560.

The previous prime is 2540059187. The next prime is 2540059219. The reversal of 2540059200 is 29500452.

2540059200 is a `hidden beast` number, since 2 + 5 + 400 + 59 + 200 = 666.

It is a Cunningham number, because it is equal to 50399²-1.

It is a tau number, because it is divible by the number of its divisors (504).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 11390289 + ... + 11390511.

Almost surely, 2^2540059200 is an apocalyptic number.

2540059200 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 2540059200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5227832064).

2540059200 is an abundant number, since it is smaller than the sum of its proper divisors (7915604928).

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

2540059200 is a wasteful number, since it uses less digits than its factorization.

2540059200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 371 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 2540059200 is about 50398.9999900792. Note that the first 5 decimals coincide. The cubic root of 2540059200 is about 1364.4195898131.

Adding to 2540059200 its reverse (29500452), we get a palindrome (2569559652).

The spelling of 2540059200 in words is "two billion, five hundred forty million, fifty-nine thousand, two hundred".