2084214240 has 240 divisors, whose sum is σ = 7459684848. Its totient is φ = 547928064.

The previous prime is 2084214221. The next prime is 2084214269. The reversal of 2084214240 is 424124802.

2084214240 is a `hidden beast` number, since 208 + 4 + 214 + 240 = 666.

2084214240 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a hoax number, since the sum of its digits (27) 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 (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 944979 + ... + 947181.

Almost surely, 2^2084214240 is an apocalyptic number.

2084214240 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 2084214240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3729842424).

2084214240 is an abundant number, since it is smaller than the sum of its proper divisors (5375470608).

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

2084214240 is a wasteful number, since it uses less digits than its factorization.

2084214240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2303 (or 2286 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

The square root of 2084214240 is about 45653.1952879533. The cubic root of 2084214240 is about 1277.3623745134.

The spelling of 2084214240 in words is "two billion, eighty-four million, two hundred fourteen thousand, two hundred forty".