2117279564400 has 480 divisors, whose sum is σ = 9106380154368. Its totient is φ = 406111334400.

The previous prime is 2117279564383. The next prime is 2117279564419. The reversal of 2117279564400 is 44659727112.

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 2117279564400.

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, 319882 + ... + 2082518.

Almost surely, 2^{2117279564400} is an apocalyptic number.

2117279564400 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 2117279564400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4553190077184).

2117279564400 is an abundant number, since it is smaller than the sum of its proper divisors (6989100589968).

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

2117279564400 is a wasteful number, since it uses less digits than its factorization.

2117279564400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1762689 (or 1762678 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 48.

The spelling of 2117279564400 in words is "two trillion, one hundred seventeen billion, two hundred seventy-nine million, five hundred sixty-four thousand, four hundred".