2000419672350 has 384 divisors, whose sum is σ = 5760865566720. Its totient is φ = 454773312000.

The previous prime is 2000419672333. The next prime is 2000419672369. The reversal of 2000419672350 is 532769140002.

It is a junction number, because it is equal to n+sod(n) for n = 2000419672299 and 2000419672308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 497738641 + ... + 497742659.

It is an arithmetic number, because the mean of its divisors is an integer number (15002254080).

Almost surely, 2^{2000419672350} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2000419672350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2880432783360).

2000419672350 is an abundant number, since it is smaller than the sum of its proper divisors (3760445894370).

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

2000419672350 is a wasteful number, since it uses less digits than its factorization.

2000419672350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4376 (or 4371 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 39.

The spelling of 2000419672350 in words is "two trillion, four hundred nineteen million, six hundred seventy-two thousand, three hundred fifty".