2534010752 has 256 divisors, whose sum is σ = 6711828480. Its totient is φ = 924549120.

The previous prime is 2534010751. The next prime is 2534010757. The reversal of 2534010752 is 2570104352.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2534010751) 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, 13266977 + ... + 13267167.

It is an arithmetic number, because the mean of its divisors is an integer number (26218080).

Almost surely, 2^2534010752 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2534010752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3355914240).

2534010752 is an abundant number, since it is smaller than the sum of its proper divisors (4177817728).

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

2534010752 is a wasteful number, since it uses less digits than its factorization.

2534010752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 29.

The square root of 2534010752 is about 50338.9585907377. The cubic root of 2534010752 is about 1363.3357331766.

The spelling of 2534010752 in words is "two billion, five hundred thirty-four million, ten thousand, seven hundred fifty-two".