2045903760000 has 480 divisors, whose sum is σ = 7789569430500. Its totient is φ = 513478656000.

The previous prime is 2045903759969. The next prime is 2045903760007. The reversal of 2045903760000 is 673095402.

2045903760000 is a `hidden beast` number, since 2 + 0 + 4 + 590 + 3 + 7 + 60 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 10 ways, for example, as 410963052096 + 1634940707904 = 641064^2 + 1278648^2 .

It is a tau number, because it is divible by the number of its divisors (480).

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

It is not an unprimeable number, because it can be changed into a prime (2045903760007) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 12156426 + ... + 12323574.

Almost surely, 2^{2045903760000} is an apocalyptic number.

2045903760000 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 2045903760000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3894784715250).

2045903760000 is an abundant number, since it is smaller than the sum of its proper divisors (5743665670500).

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

2045903760000 is a wasteful number, since it uses less digits than its factorization.

2045903760000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167206 (or 167176 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The spelling of 2045903760000 in words is "two trillion, forty-five billion, nine hundred three million, seven hundred sixty thousand".