2114681436 has 144 divisors (see below), whose sum is σ = 6387326400. Its totient is φ = 589317120.

The previous prime is 2114681431. The next prime is 2114681441. The reversal of 2114681436 is 6341864112.

2114681436 is a `hidden beast` number, since 2 + 1 + 146 + 81 + 436 = 666.

It is an interprime number because it is at equal distance from previous prime (2114681431) and next prime (2114681441).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2114681436.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2114681431) 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, 504180 + ... + 508356.

Almost surely, 2^2114681436 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2114681436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3193663200).

2114681436 is an abundant number, since it is smaller than the sum of its proper divisors (4272644964).

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

2114681436 is a wasteful number, since it uses less digits than its factorization.

2114681436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4249 (or 4230 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 2114681436 is about 45985.6655491687. The cubic root of 2114681436 is about 1283.5564820410.

The spelling of 2114681436 in words is "two billion, one hundred fourteen million, six hundred eighty-one thousand, four hundred thirty-six".