2506758510 has 64 divisors (see below), whose sum is σ = 6216279552. Its totient is φ = 646459776.

The previous prime is 2506758509. The next prime is 2506758517. The reversal of 2506758510 is 158576052.

2506758510 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2506758517) 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, 178609 + ... + 192131.

It is an arithmetic number, because the mean of its divisors is an integer number (97129368).

Almost surely, 2^2506758510 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2506758510, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3108139776).

2506758510 is an abundant number, since it is smaller than the sum of its proper divisors (3709521042).

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

2506758510 is a wasteful number, since it uses less digits than its factorization.

2506758510 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13737.

The product of its (nonzero) digits is 84000, while the sum is 39.

The square root of 2506758510 is about 50067.5394841808. The cubic root of 2506758510 is about 1358.4307357439.

The spelling of 2506758510 in words is "two billion, five hundred six million, seven hundred fifty-eight thousand, five hundred ten".