2501009280 has 384 divisors, whose sum is σ = 10769241600. Its totient is φ = 519598080.

The previous prime is 2501009279. The next prime is 2501009327. The reversal of 2501009280 is 829001052.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×2501009280² = 12510094837292236800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 440701 + ... + 446339.

It is an arithmetic number, because the mean of its divisors is an integer number (28044900).

Almost surely, 2^2501009280 is an apocalyptic number.

2501009280 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 2501009280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5384620800).

2501009280 is an abundant number, since it is smaller than the sum of its proper divisors (8268232320).

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

2501009280 is a wasteful number, since it uses less digits than its factorization.

2501009280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5682 (or 5667 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 2501009280 is about 50010.0917815594. The cubic root of 2501009280 is about 1357.3914242190.

The spelling of 2501009280 in words is "two billion, five hundred one million, nine thousand, two hundred eighty".