214052040 has 96 divisors (see below), whose sum is σ = 697582080. Its totient is φ = 56923776.

The previous prime is 214052039. The next prime is 214052071. The reversal of 214052040 is 40250412.

214052040 is a `hidden beast` number, since 2 + 140 + 520 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 196377 + ... + 197463.

It is an arithmetic number, because the mean of its divisors is an integer number (7266480).

Almost surely, 2^214052040 is an apocalyptic number.

214052040 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 214052040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348791040).

214052040 is an abundant number, since it is smaller than the sum of its proper divisors (483530040).

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

214052040 is a wasteful number, since it uses less digits than its factorization.

214052040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1651 (or 1644 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 214052040 is about 14630.5174207886. The cubic root of 214052040 is about 598.1908839812.

The spelling of 214052040 in words is "two hundred fourteen million, fifty-two thousand, forty".