2045105000 has 40 divisors (see below), whose sum is σ = 4791692730. Its totient is φ = 818040000.

The previous prime is 2045104991. The next prime is 2045105009. The reversal of 2045105000 is 5015402.

It is an interprime number because it is at equal distance from previous prime (2045104991) and next prime (2045105009).

It can be written as a sum of positive squares in 5 ways, for example, as 77827684 + 1967277316 = 8822^2 + 44354^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×2045105000² = 8364908922050000000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2045105000.

It is not an unprimeable number, because it can be changed into a prime (2045105009) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 199511 + ... + 209510.

Almost surely, 2^2045105000 is an apocalyptic number.

2045105000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2045105000 is an abundant number, since it is smaller than the sum of its proper divisors (2746587730).

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

2045105000 is an equidigital number, since it uses as much as digits as its factorization.

2045105000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409047 (or 409028 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 17.

The square root of 2045105000 is about 45222.8371511563. The cubic root of 2045105000 is about 1269.3221836162.

The spelling of 2045105000 in words is "two billion, forty-five million, one hundred five thousand".