2661336000 has 504 divisors, whose sum is σ = 10146676176. Its totient is φ = 690508800.

The previous prime is 2661335981. The next prime is 2661336017. The reversal of 2661336000 is 6331662.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

2661336000 is a `hidden beast` number, since 26 + 6 + 1 + 33 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 71927982 + ... + 71928018.

It is an arithmetic number, because the mean of its divisors is an integer number (20132294).

Almost surely, 2^2661336000 is an apocalyptic number.

2661336000 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 2661336000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5073338088).

2661336000 is an abundant number, since it is smaller than the sum of its proper divisors (7485340176).

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

2661336000 is an frugal number, since it uses more digits than its factorization.

2661336000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 2661336000 is about 51588.1381714828. The cubic root of 2661336000 is about 1385.7979128533.

Adding to 2661336000 its reverse (6331662), we get a palindrome (2667667662).

The spelling of 2661336000 in words is "two billion, six hundred sixty-one million, three hundred thirty-six thousand".