2049029000 has 64 divisors (see below), whose sum is σ = 4837425840. Its totient is φ = 812313600.

The previous prime is 2049028987. The next prime is 2049029009. The reversal of 2049029000 is 9209402.

It can be written as a sum of positive squares in 8 ways, for example, as 73582084 + 1975446916 = 8578^2 + 44446^2 .

It is not an unprimeable number, because it can be changed into a prime (2049029009) 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, 103934 + ... + 122066.

Almost surely, 2^2049029000 is an apocalyptic number.

2049029000 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 2049029000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2418712920).

2049029000 is an abundant number, since it is smaller than the sum of its proper divisors (2788396840).

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

2049029000 is a wasteful number, since it uses less digits than its factorization.

2049029000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18267 (or 18253 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 26.

The square root of 2049029000 is about 45266.2015194560. The cubic root of 2049029000 is about 1270.1334929014.

The spelling of 2049029000 in words is "two billion, forty-nine million, twenty-nine thousand".