2000204217648 has 480 divisors, whose sum is σ = 7351614466560. Its totient is φ = 492911308800.

The previous prime is 2000204217623. The next prime is 2000204217653. The reversal of 2000204217648 is 8467124020002.

2000204217648 is a `hidden beast` number, since 2 + 0 + 0 + 0 + 2 + 0 + 4 + 2 + 1 + 7 + 648 = 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 95 ways as a sum of consecutive naturals, for example, 18120223 + ... + 18230273.

It is an arithmetic number, because the mean of its divisors is an integer number (15315863472).

Almost surely, 2^{2000204217648} is an apocalyptic number.

2000204217648 is a gapful number since it is divisible by the number (28) 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 2000204217648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3675807233280).

2000204217648 is an abundant number, since it is smaller than the sum of its proper divisors (5351410248912).

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

2000204217648 is a wasteful number, since it uses less digits than its factorization.

2000204217648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110177 (or 110168 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The spelling of 2000204217648 in words is "two trillion, two hundred four million, two hundred seventeen thousand, six hundred forty-eight".