2034639000 has 224 divisors, whose sum is σ = 7140875040. Its totient is φ = 542376000.

The previous prime is 2034638993. The next prime is 2034639001. The reversal of 2034639000 is 9364302.

2034639000 is a `hidden beast` number, since 20 + 3 + 4 + 639 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2034639001) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 727605 + ... + 730395.

Almost surely, 2^2034639000 is an apocalyptic number.

2034639000 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 2034639000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3570437520).

2034639000 is an abundant number, since it is smaller than the sum of its proper divisors (5106236040).

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

2034639000 is an equidigital number, since it uses as much as digits as its factorization.

2034639000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2830 (or 2801 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 2034639000 is about 45106.9728534292. The cubic root of 2034639000 is about 1267.1531910654.

The spelling of 2034639000 in words is "two billion, thirty-four million, six hundred thirty-nine thousand".