2000509380144 has 240 divisors, whose sum is σ = 6456684424320. Its totient is φ = 571842063360.

The previous prime is 2000509380097. The next prime is 2000509380157. The reversal of 2000509380144 is 4410839050002.

2000509380144 is a `hidden beast` number, since 2 + 0 + 0 + 0 + 509 + 3 + 8 + 0 + 144 = 666.

It is a super-2 number, since 2×2000509380144² (a number of 25 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 2000509380099 and 2000509380108.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6869727 + ... + 7155009.

It is an arithmetic number, because the mean of its divisors is an integer number (26902851768).

Almost surely, 2^{2000509380144} is an apocalyptic number.

2000509380144 is a gapful number since it is divisible by the number (24) 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 2000509380144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3228342212160).

2000509380144 is an abundant number, since it is smaller than the sum of its proper divisors (4456175044176).

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

2000509380144 is a wasteful number, since it uses less digits than its factorization.

2000509380144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285560 (or 285551 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 2000509380144 in words is "two trillion, five hundred nine million, three hundred eighty thousand, one hundred forty-four".