2045695008 has 96 divisors (see below), whose sum is σ = 6169274496. Its totient is φ = 581419008.

The previous prime is 2045694997. The next prime is 2045695009. The reversal of 2045695008 is 8005965402.

2045695008 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×2045695008² = 8369736131512240128, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2045695009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 121810 + ... + 137582.

It is an arithmetic number, because the mean of its divisors is an integer number (64263276).

Almost surely, 2^2045695008 is an apocalyptic number.

2045695008 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 2045695008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3084637248).

2045695008 is an abundant number, since it is smaller than the sum of its proper divisors (4123579488).

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

2045695008 is a wasteful number, since it uses less digits than its factorization.

2045695008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15986 (or 15978 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 39.

The square root of 2045695008 is about 45229.3600220034. The cubic root of 2045695008 is about 1269.4442373714. Note that the first 3 decimals are identical.

The spelling of 2045695008 in words is "two billion, forty-five million, six hundred ninety-five thousand, eight".