2032380000 has 360 divisors, whose sum is σ = 8259018768. Its totient is φ = 464256000.

The previous prime is 2032379983. The next prime is 2032380017. The reversal of 2032380000 is 832302.

It is an interprime number because it is at equal distance from previous prime (2032379983) and next prime (2032380017).

It is a tau number, because it is divible by the number of its divisors (360).

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1259194 + ... + 1260806.

Almost surely, 2^2032380000 is an apocalyptic number.

2032380000 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 2032380000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4129509384).

2032380000 is an abundant number, since it is smaller than the sum of its proper divisors (6226638768).

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

2032380000 is a wasteful number, since it uses less digits than its factorization.

2032380000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1656 (or 1630 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2032380000 is about 45081.9254247198. The cubic root of 2032380000 is about 1266.6840563941.

The spelling of 2032380000 in words is "two billion, thirty-two million, three hundred eighty thousand".