2665722009600 has 2304 divisors, whose sum is σ = 11453891904000. Its totient is φ = 601974374400.

The previous prime is 2665722009589. The next prime is 2665722009641. The reversal of 2665722009600 is 69002275662.

It is a tau number, because it is divible by the number of its divisors (2304).

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

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 12633753495 + ... + 12633753705.

It is an arithmetic number, because the mean of its divisors is an integer number (4971307250).

Almost surely, 2^{2665722009600} is an apocalyptic number.

2665722009600 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 2665722009600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5726945952000).

2665722009600 is an abundant number, since it is smaller than the sum of its proper divisors (8788169894400).

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

2665722009600 is a wasteful number, since it uses less digits than its factorization.

2665722009600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 2665722009600 in words is "two trillion, six hundred sixty-five billion, seven hundred twenty-two million, nine thousand, six hundred".