2045006042000 has 160 divisors (see below), whose sum is σ = 5061371837184. Its totient is φ = 798938112000.

The previous prime is 2045006041973. The next prime is 2045006042011. The reversal of 2045006042000 is 2406005402.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15126704 + ... + 15261296.

Almost surely, 2^{2045006042000} is an apocalyptic number.

2045006042000 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 2045006042000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2530685918592).

2045006042000 is an abundant number, since it is smaller than the sum of its proper divisors (3016365795184).

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

2045006042000 is a wasteful number, since it uses less digits than its factorization.

2045006042000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134794 (or 134778 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

The spelling of 2045006042000 in words is "two trillion, forty-five billion, six million, forty-two thousand".