2430032020 has 96 divisors (see below), whose sum is σ = 5862816288. Its totient is φ = 838090752.

The previous prime is 2430031991. The next prime is 2430032029. The reversal of 2430032020 is 202300342.

It can be written as a sum of positive squares in 16 ways, for example, as 187251856 + 2242780164 = 13684^2 + 47358^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2430031985 and 2430032003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2430032029) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 603534 + ... + 607546.

It is an arithmetic number, because the mean of its divisors is an integer number (61071003).

Almost surely, 2^2430032020 is an apocalyptic number.

2430032020 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 2430032020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2931408144).

2430032020 is an abundant number, since it is smaller than the sum of its proper divisors (3432784268).

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

2430032020 is a wasteful number, since it uses less digits than its factorization.

2430032020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4189 (or 4187 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 16.

The square root of 2430032020 is about 49295.3549535856. The cubic root of 2430032020 is about 1344.4273290680.

Adding to 2430032020 its reverse (202300342), we get a palindrome (2632332362).

The spelling of 2430032020 in words is "two billion, four hundred thirty million, thirty-two thousand, twenty".