2118291000 has 256 divisors, whose sum is σ = 7952256000. Its totient is φ = 458611200.

The previous prime is 2118290963. The next prime is 2118291013. The reversal of 2118291000 is 1928112.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 396346 + ... + 401654.

It is an arithmetic number, because the mean of its divisors is an integer number (31063500).

Almost surely, 2^2118291000 is an apocalyptic number.

2118291000 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 2118291000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3976128000).

2118291000 is an abundant number, since it is smaller than the sum of its proper divisors (5833965000).

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

2118291000 is a wasteful number, since it uses less digits than its factorization.

2118291000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5359 (or 5345 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 24.

The square root of 2118291000 is about 46024.8954371436. The cubic root of 2118291000 is about 1284.2863706520.

The spelling of 2118291000 in words is "two billion, one hundred eighteen million, two hundred ninety-one thousand".