2045456442 has 32 divisors (see below), whose sum is σ = 4549958400. Its totient is φ = 681143904.

The previous prime is 2045456437. The next prime is 2045456461. The reversal of 2045456442 is 2446545402.

2045456442 is a `hidden beast` number, since 2 + 0 + 4 + 5 + 4 + 5 + 644 + 2 = 666.

It is a super-2 number, since 2×2045456442² = 8367784112238598728, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2045456397 and 2045456406.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37878 + ... + 74334.

It is an arithmetic number, because the mean of its divisors is an integer number (142186200).

Almost surely, 2^2045456442 is an apocalyptic number.

2045456442 is an abundant number, since it is smaller than the sum of its proper divisors (2504501958).

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

2045456442 is a wasteful number, since it uses less digits than its factorization.

2045456442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37507 (or 37501 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 36.

The square root of 2045456442 is about 45226.7226537586. The cubic root of 2045456442 is about 1269.3948885346.

The spelling of 2045456442 in words is "two billion, forty-five million, four hundred fifty-six thousand, four hundred forty-two".