2117887380 has 288 divisors, whose sum is σ = 7744149504. Its totient is φ = 458042112.

The previous prime is 2117887337. The next prime is 2117887397. The reversal of 2117887380 is 837887112.

2117887380 is a `hidden beast` number, since 21 + 178 + 87 + 380 = 666.

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 95 ways as a sum of consecutive naturals, for example, 3100519 + ... + 3101201.

It is an arithmetic number, because the mean of its divisors is an integer number (26889408).

Almost surely, 2^2117887380 is an apocalyptic number.

2117887380 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 2117887380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3872074752).

2117887380 is an abundant number, since it is smaller than the sum of its proper divisors (5626262124).

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

2117887380 is a wasteful number, since it uses less digits than its factorization.

2117887380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 835 (or 830 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 45.

The square root of 2117887380 is about 46020.5104274170. The cubic root of 2117887380 is about 1284.2047959941.

The spelling of 2117887380 in words is "two billion, one hundred seventeen million, eight hundred eighty-seven thousand, three hundred eighty".