2114680920 has 256 divisors, whose sum is σ = 7132769280. Its totient is φ = 497203200.

The previous prime is 2114680901. The next prime is 2114680933. The reversal of 2114680920 is 290864112.

2114680920 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 11683230 + ... + 11683410.

It is an arithmetic number, because the mean of its divisors is an integer number (27862380).

Almost surely, 2^2114680920 is an apocalyptic number.

2114680920 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 2114680920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3566384640).

2114680920 is an abundant number, since it is smaller than the sum of its proper divisors (5018088360).

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

2114680920 is a wasteful number, since it uses less digits than its factorization.

2114680920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 426 (or 422 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 2114680920 is about 45985.6599387244. The cubic root of 2114680920 is about 1283.5563776415.

The spelling of 2114680920 in words is "two billion, one hundred fourteen million, six hundred eighty thousand, nine hundred twenty".