2045331000 has 384 divisors, whose sum is σ = 7563628800. Its totient is φ = 515548800.

The previous prime is 2045330977. The next prime is 2045331011. The reversal of 2045331000 is 1335402.

It is a super-2 number, since 2×2045331000² = 8366757799122000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4616779 + ... + 4617221.

It is an arithmetic number, because the mean of its divisors is an integer number (19696950).

Almost surely, 2^2045331000 is an apocalyptic number.

2045331000 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 2045331000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3781814400).

2045331000 is an abundant number, since it is smaller than the sum of its proper divisors (5518297800).

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

2045331000 is a wasteful number, since it uses less digits than its factorization.

2045331000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 498 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 2045331000 is about 45225.3358196487. The cubic root of 2045331000 is about 1269.3689385501.

Adding to 2045331000 its reverse (1335402), we get a palindrome (2046666402).

The spelling of 2045331000 in words is "two billion, forty-five million, three hundred thirty-one thousand".