2052414000 has 720 divisors, whose sum is σ = 9030359520. Its totient is φ = 430617600.

The previous prime is 2052413999. The next prime is 2052414043. The reversal of 2052414000 is 4142502.

2052414000 is a `hidden beast` number, since 2 + 0 + 524 + 140 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 11465911 + ... + 11466089.

It is an arithmetic number, because the mean of its divisors is an integer number (12542166).

Almost surely, 2^2052414000 is an apocalyptic number.

2052414000 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 2052414000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4515179760).

2052414000 is an abundant number, since it is smaller than the sum of its proper divisors (6977945520).

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

2052414000 is a wasteful number, since it uses less digits than its factorization.

2052414000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 209 counting only the distinct ones).

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

The square root of 2052414000 is about 45303.5760177936. The cubic root of 2052414000 is about 1270.8325291285.

Adding to 2052414000 its reverse (4142502), we get a palindrome (2056556502).

The spelling of 2052414000 in words is "two billion, fifty-two million, four hundred fourteen thousand".