2000379780000 has 1920 divisors, whose sum is σ = 8823223664640. Its totient is φ = 431101440000.

The previous prime is 2000379779963. The next prime is 2000379780041. The reversal of 2000379780000 is 879730002.

2000379780000 is a `hidden beast` number, since 200 + 0 + 379 + 7 + 80 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 5038739802 + ... + 5038740198.

It is an arithmetic number, because the mean of its divisors is an integer number (4595428992).

Almost surely, 2^{2000379780000} is an apocalyptic number.

2000379780000 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 2000379780000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4411611832320).

2000379780000 is an abundant number, since it is smaller than the sum of its proper divisors (6822843884640).

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

2000379780000 is a wasteful number, since it uses less digits than its factorization.

2000379780000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 517 (or 488 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The spelling of 2000379780000 in words is "two trillion, three hundred seventy-nine million, seven hundred eighty thousand".