2545243344000 has 2048 divisors, whose sum is σ = 11650129920000. Its totient is φ = 532998144000.

The previous prime is 2545243343959. The next prime is 2545243344037. The reversal of 2545243344000 is 4433425452.

2545243344000 is a `hidden beast` number, since 2 + 5 + 4 + 5 + 243 + 3 + 4 + 400 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1781135286 + ... + 1781136714.

It is an arithmetic number, because the mean of its divisors is an integer number (5688540000).

Almost surely, 2^{2545243344000} is an apocalyptic number.

2545243344000 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 2545243344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5825064960000).

2545243344000 is an abundant number, since it is smaller than the sum of its proper divisors (9104886576000).

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

2545243344000 is a wasteful number, since it uses less digits than its factorization.

2545243344000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1524 (or 1496 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 36.

Adding to 2545243344000 its reverse (4433425452), we get a palindrome (2549676769452).

The spelling of 2545243344000 in words is "two trillion, five hundred forty-five billion, two hundred forty-three million, three hundred forty-four thousand".