2006577256320 has 2560 divisors, whose sum is σ = 9461594419200. Its totient is φ = 393433251840.

The previous prime is 2006577256319. The next prime is 2006577256393. The reversal of 2006577256320 is 236527756002.

2006577256320 is a `hidden beast` number, since 2 + 0 + 0 + 6 + 5 + 7 + 7 + 2 + 5 + 632 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 5467512777 + ... + 5467513143.

It is an arithmetic number, because the mean of its divisors is an integer number (3695935320).

Almost surely, 2^{2006577256320} is an apocalyptic number.

2006577256320 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 2006577256320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4730797209600).

2006577256320 is an abundant number, since it is smaller than the sum of its proper divisors (7455017162880).

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

2006577256320 is a wasteful number, since it uses less digits than its factorization.

2006577256320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 498 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 1058400, while the sum is 45.

The spelling of 2006577256320 in words is "two trillion, six billion, five hundred seventy-seven million, two hundred fifty-six thousand, three hundred twenty".