2045864804000 has 96 divisors (see below), whose sum is σ = 5027431945536. Its totient is φ = 818225107200.

The previous prime is 2045864803943. The next prime is 2045864804017. The reversal of 2045864804000 is 4084685402.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30058007 + ... + 30125993.

It is an arithmetic number, because the mean of its divisors is an integer number (52369082766).

Almost surely, 2^{2045864804000} is an apocalyptic number.

2045864804000 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 2045864804000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2513715972768).

2045864804000 is an abundant number, since it is smaller than the sum of its proper divisors (2981567141536).

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

2045864804000 is an equidigital number, since it uses as much as digits as its factorization.

2045864804000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75535 (or 75517 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 41.

The spelling of 2045864804000 in words is "two trillion, forty-five billion, eight hundred sixty-four million, eight hundred four thousand".