2545453942800 has 120 divisors (see below), whose sum is σ = 8162022552480. Its totient is φ = 678114662400.

The previous prime is 2545453942709. The next prime is 2545453942817. The reversal of 2545453942800 is 82493545452.

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 159655 + ... + 2261945.

It is an arithmetic number, because the mean of its divisors is an integer number (68016854604).

Almost surely, 2^{2545453942800} is an apocalyptic number.

2545453942800 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 2545453942800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4081011276240).

2545453942800 is an abundant number, since it is smaller than the sum of its proper divisors (5616568609680).

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

2545453942800 is a wasteful number, since it uses less digits than its factorization.

2545453942800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2103321 (or 2103310 counting only the distinct ones).

The product of its (nonzero) digits is 6912000, while the sum is 51.

The spelling of 2545453942800 in words is "two trillion, five hundred forty-five billion, four hundred fifty-three million, nine hundred forty-two thousand, eight hundred".