2000380536 has 320 divisors, whose sum is σ = 7142446080. Its totient is φ = 507928320.

The previous prime is 2000380519. The next prime is 2000380549. The reversal of 2000380536 is 6350830002.

It is a super-4 number, since 4×2000380536⁴ (a number of 38 digits) contains 4444 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2344686 + ... + 2345538.

It is an arithmetic number, because the mean of its divisors is an integer number (22320144).

Almost surely, 2^2000380536 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2000380536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3571223040).

2000380536 is an abundant number, since it is smaller than the sum of its proper divisors (5142065544).

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

2000380536 is a wasteful number, since it uses less digits than its factorization.

2000380536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 936 (or 923 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 2000380536 is about 44725.6138694596. The cubic root of 2000380536 is about 1260.0009523802. Note that the first 3 decimals are identical.

The spelling of 2000380536 in words is "two billion, three hundred eighty thousand, five hundred thirty-six".