2045467008 has 192 divisors, whose sum is σ = 6429084480. Its totient is φ = 620421120.

The previous prime is 2045466991. The next prime is 2045467019. The reversal of 2045467008 is 8007645402.

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

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1092313 + ... + 1094183.

It is an arithmetic number, because the mean of its divisors is an integer number (33484815).

Almost surely, 2^2045467008 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2045467008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3214542240).

2045467008 is an abundant number, since it is smaller than the sum of its proper divisors (4383617472).

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

2045467008 is a wasteful number, since it uses less digits than its factorization.

2045467008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1977 (or 1962 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 2045467008 is about 45226.8394650787. The cubic root of 2045467008 is about 1269.3970742576.

The spelling of 2045467008 in words is "two billion, forty-five million, four hundred sixty-seven thousand, eight".