2114476416 has 192 divisors, whose sum is σ = 6589477440. Its totient is φ = 646963200.

The previous prime is 2114476379. The next prime is 2114476417. The reversal of 2114476416 is 6146744112.

It is a happy number.

2114476416 is a `hidden beast` number, since 2 + 1 + 1 + 4 + 4 + 7 + 641 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2114476417) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4058236 + ... + 4058756.

It is an arithmetic number, because the mean of its divisors is an integer number (34320195).

Almost surely, 2^2114476416 is an apocalyptic number.

2114476416 is a gapful number since it is divisible by the number (26) 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 2114476416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3294738720).

2114476416 is an abundant number, since it is smaller than the sum of its proper divisors (4475001024).

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

2114476416 is a wasteful number, since it uses less digits than its factorization.

2114476416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 825 (or 810 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 2114476416 is about 45983.4363222237. The cubic root of 2114476416 is about 1283.5150001027.

The spelling of 2114476416 in words is "two billion, one hundred fourteen million, four hundred seventy-six thousand, four hundred sixteen".