2507080128 has 112 divisors (see below), whose sum is σ = 7592592384. Its totient is φ = 715207680.

The previous prime is 2507080123. The next prime is 2507080129. The reversal of 2507080128 is 8210807052.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2507080123) 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 15 ways as a sum of consecutive naturals, for example, 1339033 + ... + 1340903.

Almost surely, 2^2507080128 is an apocalyptic number.

2507080128 is a gapful number since it is divisible by the number (28) 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 2507080128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3796296192).

2507080128 is an abundant number, since it is smaller than the sum of its proper divisors (5085512256).

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

2507080128 is a wasteful number, since it uses less digits than its factorization.

2507080128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2890 (or 2880 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 33.

The square root of 2507080128 is about 50070.7512226449. The cubic root of 2507080128 is about 1358.4888289736.

The spelling of 2507080128 in words is "two billion, five hundred seven million, eighty thousand, one hundred twenty-eight".