2214838080 has 672 divisors, whose sum is σ = 9754477824. Its totient is φ = 465813504.

The previous prime is 2214838057. The next prime is 2214838103. The reversal of 2214838080 is 808384122.

It is a happy number.

2214838080 is a `hidden beast` number, since 2 + 21 + 483 + 80 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (2214838057) and next prime (2214838103).

It is a tau number, because it is divible by the number of its divisors (672).

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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7076004 + ... + 7076316.

It is an arithmetic number, because the mean of its divisors is an integer number (14515592).

Almost surely, 2^2214838080 is an apocalyptic number.

2214838080 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 2214838080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4877238912).

2214838080 is an abundant number, since it is smaller than the sum of its proper divisors (7539639744).

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

2214838080 is a wasteful number, since it uses less digits than its factorization.

2214838080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 2214838080 is about 47062.0662529813. The cubic root of 2214838080 is about 1303.5088795029.

The spelling of 2214838080 in words is "two billion, two hundred fourteen million, eight hundred thirty-eight thousand, eighty".