2039232000 has 640 divisors, whose sum is σ = 7864496640. Its totient is φ = 464486400.

The previous prime is 2039231989. The next prime is 2039232011. The reversal of 2039232000 is 2329302.

It is an interprime number because it is at equal distance from previous prime (2039231989) and next prime (2039232011).

It is a tau number, because it is divible by the number of its divisors (640).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 47423979 + ... + 47424021.

It is an arithmetic number, because the mean of its divisors is an integer number (12288276).

Almost surely, 2^2039232000 is an apocalyptic number.

2039232000 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 2039232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3932248320).

2039232000 is an abundant number, since it is smaller than the sum of its proper divisors (5825264640).

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

2039232000 is a wasteful number, since it uses less digits than its factorization.

2039232000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

The square root of 2039232000 is about 45157.8564593139. The cubic root of 2039232000 is about 1268.1059662592.

The spelling of 2039232000 in words is "two billion, thirty-nine million, two hundred thirty-two thousand".