2534073024 has 280 divisors, whose sum is σ = 8195950080. Its totient is φ = 689644032.

The previous prime is 2534072993. The next prime is 2534073049. The reversal of 2534073024 is 4203704352.

It is a junction number, because it is equal to n+sod(n) for n = 2534072982 and 2534073000.

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 39 ways as a sum of consecutive naturals, for example, 10602697 + ... + 10602935.

Almost surely, 2^2534073024 is an apocalyptic number.

2534073024 is a gapful number since it is divisible by the number (24) 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 2534073024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4097975040).

2534073024 is an abundant number, since it is smaller than the sum of its proper divisors (5661877056).

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

2534073024 is an equidigital number, since it uses as much as digits as its factorization.

2534073024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 30.

The square root of 2534073024 is about 50339.5771138376. The cubic root of 2534073024 is about 1363.3469008413.

Adding to 2534073024 its reverse (4203704352), we get a palindrome (6737777376).

The spelling of 2534073024 in words is "two billion, five hundred thirty-four million, seventy-three thousand, twenty-four".