2045439648 has 192 divisors, whose sum is σ = 6874398720. Its totient is φ = 579591936.

The previous prime is 2045439637. The next prime is 2045439673. The reversal of 2045439648 is 8469345402.

2045439648 is a `hidden beast` number, since 204 + 5 + 439 + 6 + 4 + 8 = 666.

It is a super-2 number, since 2×2045439648² = 8367646707220727808, which contains 22 as substring.

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, 766765 + ... + 769427.

It is an arithmetic number, because the mean of its divisors is an integer number (35804160).

Almost surely, 2^2045439648 is an apocalyptic number.

2045439648 is a gapful number since it is divisible by the number (28) 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 2045439648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3437199360).

2045439648 is an abundant number, since it is smaller than the sum of its proper divisors (4828959072).

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

2045439648 is a wasteful number, since it uses less digits than its factorization.

2045439648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2816 (or 2802 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The square root of 2045439648 is about 45226.5369888078. The cubic root of 2045439648 is about 1269.3914144484.

The spelling of 2045439648 in words is "two billion, forty-five million, four hundred thirty-nine thousand, six hundred forty-eight".