2101645000 has 320 divisors, whose sum is σ = 6297984000. Its totient is φ = 639360000.

The previous prime is 2101644983. The next prime is 2101645027. The reversal of 2101645000 is 5461012.

It is a super-3 number, since 3×2101645000³ (a number of 29 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 14104926 + ... + 14105074.

It is an arithmetic number, because the mean of its divisors is an integer number (19681200).

Almost surely, 2^2101645000 is an apocalyptic number.

2101645000 is a gapful number since it is divisible by the number (20) 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 2101645000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3148992000).

2101645000 is an abundant number, since it is smaller than the sum of its proper divisors (4196339000).

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

2101645000 is a wasteful number, since it uses less digits than its factorization.

2101645000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 2101645000 is about 45843.7018575071. The cubic root of 2101645000 is about 1280.9134511655.

The spelling of 2101645000 in words is "two billion, one hundred one million, six hundred forty-five thousand".