2214786420 has 432 divisors, whose sum is σ = 8597971200. Its totient is φ = 451630080.

The previous prime is 2214786407. The next prime is 2214786437. The reversal of 2214786420 is 246874122.

2214786420 is a `hidden beast` number, since 2 + 2 + 1 + 4 + 7 + 8 + 642 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 11129481 + ... + 11129679.

Almost surely, 2^2214786420 is an apocalyptic number.

2214786420 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 2214786420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4298985600).

2214786420 is an abundant number, since it is smaller than the sum of its proper divisors (6383184780).

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

2214786420 is a wasteful number, since it uses less digits than its factorization.

2214786420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 2214786420 is about 47061.5174001009. The cubic root of 2214786420 is about 1303.4987448581.

The spelling of 2214786420 in words is "two billion, two hundred fourteen million, seven hundred eighty-six thousand, four hundred twenty".