2006049408000 has 352 divisors, whose sum is σ = 7279512709248. Its totient is φ = 486313984000.

The previous prime is 2006049407987. The next prime is 2006049408059. The reversal of 2006049408000 is 8049406002.

It is a tau number, because it is divible by the number of its divisors (352).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3986542 + ... + 4461458.

Almost surely, 2^{2006049408000} is an apocalyptic number.

2006049408000 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 2006049408000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3639756354624).

2006049408000 is an abundant number, since it is smaller than the sum of its proper divisors (5273463301248).

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

2006049408000 is a wasteful number, since it uses less digits than its factorization.

2006049408000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 474966 (or 474938 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The spelling of 2006049408000 in words is "two trillion, six billion, forty-nine million, four hundred eight thousand".