2164660377600 has 1152 divisors, whose sum is σ = 8428335552000. Its totient is φ = 489878323200.

The previous prime is 2164660377577. The next prime is 2164660377611. The reversal of 2164660377600 is 67730664612.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 2164660377600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9535948687 + ... + 9535948913.

It is an arithmetic number, because the mean of its divisors is an integer number (7316263500).

Almost surely, 2^{2164660377600} is an apocalyptic number.

2164660377600 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 2164660377600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4214167776000).

2164660377600 is an abundant number, since it is smaller than the sum of its proper divisors (6263675174400).

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

2164660377600 is a wasteful number, since it uses less digits than its factorization.

2164660377600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 48.

The spelling of 2164660377600 in words is "two trillion, one hundred sixty-four billion, six hundred sixty million, three hundred seventy-seven thousand, six hundred".