2506936080 has 240 divisors, whose sum is σ = 8608824000. Its totient is φ = 603018240.

The previous prime is 2506936039. The next prime is 2506936087. The reversal of 2506936080 is 806396052.

It is a tau number, because it is divible by the number of its divisors (240).

It is not an unprimeable number, because it can be changed into a prime (2506936087) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5023671 + ... + 5024169.

It is an arithmetic number, because the mean of its divisors is an integer number (35870100).

Almost surely, 2^2506936080 is an apocalyptic number.

2506936080 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 2506936080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4304412000).

2506936080 is an abundant number, since it is smaller than the sum of its proper divisors (6101887920).

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

2506936080 is a wasteful number, since it uses less digits than its factorization.

2506936080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 710 (or 693 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 39.

The square root of 2506936080 is about 50069.3127574166. The cubic root of 2506936080 is about 1358.4628104797.

The spelling of 2506936080 in words is "two billion, five hundred six million, nine hundred thirty-six thousand, eighty".