2661024960000 has 2800 divisors, whose sum is σ = 11694785758128. Its totient is φ = 597196800000.

The previous prime is 2661024959953. The next prime is 2661024960001. The reversal of 2661024960000 is 694201662.

2661024960000 is a `hidden beast` number, since 2 + 6 + 6 + 1 + 0 + 2 + 49 + 600 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2661024960001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 279 ways as a sum of consecutive naturals, for example, 43623359970 + ... + 43623360030.

Almost surely, 2^{2661024960000} is an apocalyptic number.

2661024960000 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 2661024960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5847392879064).

2661024960000 is an abundant number, since it is smaller than the sum of its proper divisors (9033760798128).

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

2661024960000 is an frugal number, since it uses more digits than its factorization.

2661024960000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 2661024960000 in words is "two trillion, six hundred sixty-one billion, twenty-four million, nine hundred sixty thousand".