2117949022800 has 1080 divisors, whose sum is σ = 8665028465184. Its totient is φ = 493795906560.

The previous prime is 2117949022771. The next prime is 2117949022823. The reversal of 2117949022800 is 82209497112.

2117949022800 is a `hidden beast` number, since 2 + 11 + 79 + 490 + 2 + 2 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

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 polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 456157279 + ... + 456161921.

Almost surely, 2^{2117949022800} is an apocalyptic number.

2117949022800 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 2117949022800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4332514232592).

2117949022800 is an abundant number, since it is smaller than the sum of its proper divisors (6547079442384).

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

2117949022800 is a wasteful number, since it uses less digits than its factorization.

2117949022800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4727 (or 4685 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 2117949022800 in words is "two trillion, one hundred seventeen billion, nine hundred forty-nine million, twenty-two thousand, eight hundred".