2502706752 has 504 divisors, whose sum is σ = 9485985600. Its totient is φ = 623572992.

The previous prime is 2502706721. The next prime is 2502706763. The reversal of 2502706752 is 2576072052.

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6971149 + ... + 6971507.

It is an arithmetic number, because the mean of its divisors is an integer number (18821400).

Almost surely, 2^2502706752 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 2502706752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4742992800).

2502706752 is an abundant number, since it is smaller than the sum of its proper divisors (6983278848).

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

2502706752 is a wasteful number, since it uses less digits than its factorization.

2502706752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 36.

The square root of 2502706752 is about 50027.0601974571. The cubic root of 2502706752 is about 1357.6984486495.

The spelling of 2502706752 in words is "two billion, five hundred two million, seven hundred six thousand, seven hundred fifty-two".