2000501084736 has 2352 divisors, whose sum is σ = 8166937411584. Its totient is φ = 474211584000.

The previous prime is 2000501084719. The next prime is 2000501084837. The reversal of 2000501084736 is 6374801050002.

2000501084736 is a `hidden beast` number, since 2 + 0 + 0 + 0 + 501 + 0 + 84 + 73 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2000501084736.

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 28176071581 + ... + 28176071651.

Almost surely, 2^{2000501084736} 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 2000501084736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4083468705792).

2000501084736 is an abundant number, since it is smaller than the sum of its proper divisors (6166436326848).

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

2000501084736 is a wasteful number, since it uses less digits than its factorization.

2000501084736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 2000501084736 in words is "two trillion, five hundred one million, eighty-four thousand, seven hundred thirty-six".