2117484133380 has 576 divisors, whose sum is σ = 8104863836160. Its totient is φ = 434694297600.

The previous prime is 2117484133379. The next prime is 2117484133409. The reversal of 2117484133380 is 833314847112.

2117484133380 is a `hidden beast` number, since 2 + 1 + 1 + 7 + 484 + 133 + 38 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 606553435 + ... + 606556925.

It is an arithmetic number, because the mean of its divisors is an integer number (14070944160).

Almost surely, 2^{2117484133380} is an apocalyptic number.

2117484133380 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 2117484133380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4052431918080).

2117484133380 is an abundant number, since it is smaller than the sum of its proper divisors (5987379702780).

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

2117484133380 is a wasteful number, since it uses less digits than its factorization.

2117484133380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4040 (or 4035 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 2117484133380 in words is "two trillion, one hundred seventeen billion, four hundred eighty-four million, one hundred thirty-three thousand, three hundred eighty".