2000754658350 has 576 divisors, whose sum is σ = 6521511739392. Its totient is φ = 430129440000.

The previous prime is 2000754658261. The next prime is 2000754658361. The reversal of 2000754658350 is 538564570002.

2000754658350 is a `hidden beast` number, since 2 + 0 + 0 + 0 + 7 + 546 + 58 + 3 + 50 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 2000754658296 and 2000754658305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 693020607 + ... + 693023493.

It is an arithmetic number, because the mean of its divisors is an integer number (11322068992).

Almost surely, 2^{2000754658350} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2000754658350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3260755869696).

2000754658350 is an abundant number, since it is smaller than the sum of its proper divisors (4520757081042).

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

2000754658350 is a wasteful number, since it uses less digits than its factorization.

2000754658350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3141 (or 3133 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 45.

The spelling of 2000754658350 in words is "two trillion, seven hundred fifty-four million, six hundred fifty-eight thousand, three hundred fifty".