2542568918400 has 576 divisors, whose sum is σ = 10824313338000. Its totient is φ = 581157642240.

The previous prime is 2542568918377. The next prime is 2542568918441. The reversal of 2542568918400 is 48198652452.

2542568918400 is a `hidden beast` number, since 2 + 542 + 5 + 6 + 8 + 91 + 8 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 3933316 + ... + 4533884.

Almost surely, 2^{2542568918400} is an apocalyptic number.

2542568918400 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 2542568918400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5412156669000).

2542568918400 is an abundant number, since it is smaller than the sum of its proper divisors (8281744419600).

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

2542568918400 is a wasteful number, since it uses less digits than its factorization.

2542568918400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 600616 (or 600586 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 54.

The spelling of 2542568918400 in words is "two trillion, five hundred forty-two billion, five hundred sixty-eight million, nine hundred eighteen thousand, four hundred".