2506000780 has 96 divisors (see below), whose sum is σ = 5577143040. Its totient is φ = 944455680.

The previous prime is 2506000769. The next prime is 2506000781. The reversal of 2506000780 is 870006052.

It is not an unprimeable number, because it can be changed into a prime (2506000781) 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, 6828157 + ... + 6828523.

It is an arithmetic number, because the mean of its divisors is an integer number (58095240).

Almost surely, 2^2506000780 is an apocalyptic number.

2506000780 is a gapful number since it is divisible by the number (20) 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 2506000780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2788571520).

2506000780 is an abundant number, since it is smaller than the sum of its proper divisors (3071142260).

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

2506000780 is a wasteful number, since it uses less digits than its factorization.

2506000780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 659 (or 657 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 28.

The square root of 2506000780 is about 50059.9718337915. The cubic root of 2506000780 is about 1358.2938488111.

The spelling of 2506000780 in words is "two billion, five hundred six million, seven hundred eighty", and thus it is an aban number.