2540604250600 has 192 divisors, whose sum is σ = 6387566169600. Its totient is φ = 934202142720.

The previous prime is 2540604250577. The next prime is 2540604250607. The reversal of 2540604250600 is 60524060452.

2540604250600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (2540604250607) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 713851621 + ... + 713855179.

It is an arithmetic number, because the mean of its divisors is an integer number (33268573800).

Almost surely, 2^{2540604250600} is an apocalyptic number.

2540604250600 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 2540604250600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3193783084800).

2540604250600 is an abundant number, since it is smaller than the sum of its proper divisors (3846961919000).

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

2540604250600 is a wasteful number, since it uses less digits than its factorization.

2540604250600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4644 (or 4635 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 34.

The spelling of 2540604250600 in words is "two trillion, five hundred forty billion, six hundred four million, two hundred fifty thousand, six hundred".