2430623052 has 384 divisors, whose sum is σ = 7868851200. Its totient is φ = 646652160.

The previous prime is 2430623033. The next prime is 2430623077. The reversal of 2430623052 is 2503260342.

2430623052 is a `hidden beast` number, since 2 + 4 + 30 + 623 + 0 + 5 + 2 = 666.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 36277923 + ... + 36277989.

It is an arithmetic number, because the mean of its divisors is an integer number (20491800).

Almost surely, 2^2430623052 is an apocalyptic number.

2430623052 is a gapful number since it is divisible by the number (22) 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 2430623052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3934425600).

2430623052 is an abundant number, since it is smaller than the sum of its proper divisors (5438228148).

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

2430623052 is a wasteful number, since it uses less digits than its factorization.

2430623052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 2430623052 is about 49301.3493932975. The cubic root of 2430623052 is about 1344.5363173659.

Adding to 2430623052 its reverse (2503260342), we get a palindrome (4933883394).

The spelling of 2430623052 in words is "two billion, four hundred thirty million, six hundred twenty-three thousand, fifty-two".