2117748360 has 512 divisors, whose sum is σ = 8418816000. Its totient is φ = 413724672.

The previous prime is 2117748349. The next prime is 2117748389. The reversal of 2117748360 is 638477112.

It is a Cunningham number, because it is equal to 46019²-1.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 12241234 + ... + 12241406.

It is an arithmetic number, because the mean of its divisors is an integer number (16443000).

Almost surely, 2^2117748360 is an apocalyptic number.

2117748360 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 2117748360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4209408000).

2117748360 is an abundant number, since it is smaller than the sum of its proper divisors (6301067640).

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

2117748360 is a wasteful number, since it uses less digits than its factorization.

2117748360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 39.

The square root of 2117748360 is about 46018.9999891349. Note that the first 4 decimals coincide. The cubic root of 2117748360 is about 1284.1766965998.

The spelling of 2117748360 in words is "two billion, one hundred seventeen million, seven hundred forty-eight thousand, three hundred sixty".