2006154583680 has 256 divisors, whose sum is σ = 7046666605440. Its totient is φ = 482338160640.

The previous prime is 2006154583673. The next prime is 2006154583747. The reversal of 2006154583680 is 863854516002.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 138690 + ... + 2007870.

Almost surely, 2^{2006154583680} is an apocalyptic number.

2006154583680 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 2006154583680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3523333302720).

2006154583680 is an abundant number, since it is smaller than the sum of its proper divisors (5040512021760).

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

2006154583680 is a wasteful number, since it uses less digits than its factorization.

2006154583680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1869259 (or 1869247 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 48.

The spelling of 2006154583680 in words is "two trillion, six billion, one hundred fifty-four million, five hundred eighty-three thousand, six hundred eighty".