2505442064400 has 720 divisors, whose sum is σ = 9656312635008. Its totient is φ = 596477952000.

The previous prime is 2505442064381. The next prime is 2505442064407. The reversal of 2505442064400 is 44602445052.

2505442064400 is a `hidden beast` number, since 2 + 5 + 0 + 5 + 4 + 4 + 2 + 0 + 644 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2505442064407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 778811592 + ... + 778814808.

Almost surely, 2^{2505442064400} is an apocalyptic number.

2505442064400 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 2505442064400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4828156317504).

2505442064400 is an abundant number, since it is smaller than the sum of its proper divisors (7150870570608).

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

2505442064400 is a wasteful number, since it uses less digits than its factorization.

2505442064400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3600 (or 3586 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 36.

The spelling of 2505442064400 in words is "two trillion, five hundred five billion, four hundred forty-two million, sixty-four thousand, four hundred".