2116938240 has 480 divisors, whose sum is σ = 7882370496. Its totient is φ = 544112640.

The previous prime is 2116938227. The next prime is 2116938269. The reversal of 2116938240 is 428396112.

2116938240 is a `hidden beast` number, since 211 + 69 + 382 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2116938195 and 2116938204.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25505239 + ... + 25505321.

Almost surely, 2^2116938240 is an apocalyptic number.

2116938240 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 2116938240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3941185248).

2116938240 is an abundant number, since it is smaller than the sum of its proper divisors (5765432256).

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

2116938240 is an frugal number, since it uses more digits than its factorization.

2116938240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 2116938240 is about 46010.1971306362. The cubic root of 2116938240 is about 1284.0129267630.

The spelling of 2116938240 in words is "two billion, one hundred sixteen million, nine hundred thirty-eight thousand, two hundred forty".