2045813360640 has 192 divisors, whose sum is σ = 7480005886080. Its totient is φ = 467614433280.

The previous prime is 2045813360629. The next prime is 2045813360699. The reversal of 2045813360640 is 460633185402.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 2045813360592 and 2045813360601.

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, 4541781 + ... + 4971860.

It is an arithmetic number, because the mean of its divisors is an integer number (38958363990).

Almost surely, 2^{2045813360640} is an apocalyptic number.

2045813360640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2045813360640 is an abundant number, since it is smaller than the sum of its proper divisors (5434192525440).

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

2045813360640 is an equidigital number, since it uses as much as digits as its factorization.

2045813360640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9513678 (or 9513658 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 42.

The spelling of 2045813360640 in words is "two trillion, forty-five billion, eight hundred thirteen million, three hundred sixty thousand, six hundred forty".