2502606080 has 216 divisors, whose sum is σ = 6786799488. Its totient is φ = 882106368.

The previous prime is 2502606079. The next prime is 2502606089. The reversal of 2502606080 is 806062052.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2502606089) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4975109 + ... + 4975611.

It is an arithmetic number, because the mean of its divisors is an integer number (31420368).

Almost surely, 2^2502606080 is an apocalyptic number.

2502606080 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 2502606080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3393399744).

2502606080 is an abundant number, since it is smaller than the sum of its proper divisors (4284193408).

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

2502606080 is a wasteful number, since it uses less digits than its factorization.

2502606080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 573 (or 546 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 29.

The square root of 2502606080 is about 50026.0540118846. The cubic root of 2502606080 is about 1357.6802438197.

The spelling of 2502606080 in words is "two billion, five hundred two million, six hundred six thousand, eighty".