2045205454200 has 192 divisors, whose sum is σ = 6362715364320. Its totient is φ = 543449088000.

The previous prime is 2045205454147. The next prime is 2045205454211. The reversal of 2045205454200 is 24545025402.

It is a super-3 number, since 3×2045205454200³ (a number of 38 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 236681880 + ... + 236690520.

Almost surely, 2^{2045205454200} is an apocalyptic number.

2045205454200 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 2045205454200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3181357682160).

2045205454200 is an abundant number, since it is smaller than the sum of its proper divisors (4317509910120).

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

2045205454200 is a wasteful number, since it uses less digits than its factorization.

2045205454200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10018 (or 10009 counting only the distinct ones).

The product of its (nonzero) digits is 64000, while the sum is 33.

The spelling of 2045205454200 in words is "two trillion, forty-five billion, two hundred five million, four hundred fifty-four thousand, two hundred".