2661552000 has 512 divisors, whose sum is σ = 10062748800. Its totient is φ = 691200000.

The previous prime is 2661551929. The next prime is 2661552001. The reversal of 2661552000 is 2551662.

2661552000 is a `hidden beast` number, since 26 + 615 + 5 + 20 + 0 + 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 not an unprimeable number, because it can be changed into a prime (2661552001) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 26351950 + ... + 26352050.

Almost surely, 2^2661552000 is an apocalyptic number.

2661552000 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 2661552000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5031374400).

2661552000 is an abundant number, since it is smaller than the sum of its proper divisors (7401196800).

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

2661552000 is a wasteful number, since it uses less digits than its factorization.

2661552000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 2661552000 is about 51590.2316335176. The cubic root of 2661552000 is about 1385.8354033282.

The spelling of 2661552000 in words is "two billion, six hundred sixty-one million, five hundred fifty-two thousand".