2501128320 has 128 divisors (see below), whose sum is σ = 7993944000. Its totient is φ = 665161728.

The previous prime is 2501128313. The next prime is 2501128337. The reversal of 2501128320 is 238211052.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 802926 + ... + 806034.

Almost surely, 2^2501128320 is an apocalyptic number.

2501128320 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 2501128320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3996972000).

2501128320 is an abundant number, since it is smaller than the sum of its proper divisors (5492815680).

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

2501128320 is a wasteful number, since it uses less digits than its factorization.

2501128320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3550 (or 3538 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 2501128320 is about 50011.2819271812. The cubic root of 2501128320 is about 1357.4129596998.

Adding to 2501128320 its reverse (238211052), we get a palindrome (2739339372).

The spelling of 2501128320 in words is "two billion, five hundred one million, one hundred twenty-eight thousand, three hundred twenty".