2434052000 has 96 divisors (see below), whose sum is σ = 6295423680. Its totient is φ = 922348800.

The previous prime is 2434051987. The next prime is 2434052009. The reversal of 2434052000 is 2504342.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (2434052009) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 59987 + ... + 92013.

It is an arithmetic number, because the mean of its divisors is an integer number (65577330).

Almost surely, 2^2434052000 is an apocalyptic number.

2434052000 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 2434052000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3147711840).

2434052000 is an abundant number, since it is smaller than the sum of its proper divisors (3861371680).

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

2434052000 is a wasteful number, since it uses less digits than its factorization.

2434052000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32071 (or 32053 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 20.

The square root of 2434052000 is about 49336.1125343293. The cubic root of 2434052000 is about 1345.1682786277.

Adding to 2434052000 its reverse (2504342), we get a palindrome (2436556342).

The spelling of 2434052000 in words is "two billion, four hundred thirty-four million, fifty-two thousand".