2045424565440 has 84 divisors (see below), whose sum is σ = 7035408254784. Its totient is φ = 545446550016.

The previous prime is 2045424565369. The next prime is 2045424565453. The reversal of 2045424565440 is 445654245402.

2045424565440 is a `hidden beast` number, since 2 + 0 + 4 + 5 + 42 + 4 + 565 + 4 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 355105552 + ... + 355111311.

It is an arithmetic number, because the mean of its divisors is an integer number (83754860176).

Almost surely, 2^{2045424565440} is an apocalyptic number.

2045424565440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2045424565440 is an abundant number, since it is smaller than the sum of its proper divisors (4989983689344).

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

2045424565440 is a wasteful number, since it uses less digits than its factorization.

2045424565440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 710216886 (or 710216873 counting only the distinct ones).

The product of its (nonzero) digits is 3072000, while the sum is 45.

The spelling of 2045424565440 in words is "two trillion, forty-five billion, four hundred twenty-four million, five hundred sixty-five thousand, four hundred forty".