2114161920 has 432 divisors, whose sum is σ = 8303218560. Its totient is φ = 492355584.

The previous prime is 2114161919. The next prime is 2114161921. The reversal of 2114161920 is 291614112.

2114161920 is a `hidden beast` number, since 2 + 1 + 1 + 41 + 619 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2114161919) and next prime (2114161921).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2114161921) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2845069 + ... + 2845811.

Almost surely, 2^2114161920 is an apocalyptic number.

2114161920 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 2114161920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4151609280).

2114161920 is an abundant number, since it is smaller than the sum of its proper divisors (6189056640).

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

2114161920 is a wasteful number, since it uses less digits than its factorization.

2114161920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 802 (or 785 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 2114161920 is about 45980.0165289226. The cubic root of 2114161920 is about 1283.4513625445.

The spelling of 2114161920 in words is "two billion, one hundred fourteen million, one hundred sixty-one thousand, nine hundred twenty".