2006240604480 has 336 divisors, whose sum is σ = 8099586218880. Its totient is φ = 446175350784.

The previous prime is 2006240604479. The next prime is 2006240604491. The reversal of 2006240604480 is 844060426002.

It is a happy number.

2006240604480 is a `hidden beast` number, since 2 + 0 + 0 + 6 + 2 + 4 + 0 + 604 + 48 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a congruent number.

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, 598890 + ... + 2090729.

Almost surely, 2^{2006240604480} is an apocalyptic number.

2006240604480 is a gapful number since it is divisible by the number (20) 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 2006240604480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4049793109440).

2006240604480 is an abundant number, since it is smaller than the sum of its proper divisors (6093345614400).

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

2006240604480 is a wasteful number, since it uses less digits than its factorization.

2006240604480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2689686 (or 2689673 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The spelling of 2006240604480 in words is "two trillion, six billion, two hundred forty million, six hundred four thousand, four hundred eighty".