2045975184 has 120 divisors (see below), whose sum is σ = 6270318912. Its totient is φ = 617621760.

The previous prime is 2045975179. The next prime is 2045975219. The reversal of 2045975184 is 4815795402.

2045975184 is a `hidden beast` number, since 2 + 0 + 4 + 597 + 51 + 8 + 4 = 666.

2045975184 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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, 436437 + ... + 441099.

Almost surely, 2^2045975184 is an apocalyptic number.

2045975184 is a gapful number since it is divisible by the number (24) 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 2045975184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3135159456).

2045975184 is an abundant number, since it is smaller than the sum of its proper divisors (4224343728).

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

2045975184 is a wasteful number, since it uses less digits than its factorization.

2045975184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4965 (or 4956 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The square root of 2045975184 is about 45232.4571961330. The cubic root of 2045975184 is about 1269.5021885927.

Subtracting from 2045975184 its product of nonzero digits (403200), we obtain a square (2045571984 = 45228²).

The spelling of 2045975184 in words is "two billion, forty-five million, nine hundred seventy-five thousand, one hundred eighty-four".