2006576146944 has 240 divisors, whose sum is σ = 6030817752960. Its totient is φ = 666050273280.

The previous prime is 2006576146943. The next prime is 2006576146957. The reversal of 2006576146944 is 4496416756002.

2006576146944 is a `hidden beast` number, since 2 + 0 + 0 + 6 + 576 + 1 + 4 + 69 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (2006576146943) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29701684 + ... + 29769164.

It is an arithmetic number, because the mean of its divisors is an integer number (25128407304).

Almost surely, 2^{2006576146944} is an apocalyptic number.

2006576146944 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 2006576146944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3015408876480).

2006576146944 is an abundant number, since it is smaller than the sum of its proper divisors (4024241606016).

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

2006576146944 is an frugal number, since it uses more digits than its factorization.

2006576146944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67753 (or 67725 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 2006576146944 in words is "two trillion, six billion, five hundred seventy-six million, one hundred forty-six thousand, nine hundred forty-four".