2501330832 has 720 divisors, whose sum is σ = 9971986752. Its totient is φ = 574801920.

The previous prime is 2501330831. The next prime is 2501330833. The reversal of 2501330832 is 2380331052.

2501330832 is a `hidden beast` number, since 250 + 1 + 330 + 83 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (2501330831) and next prime (2501330833).

It is a super-2 number, since 2×2501330832² = 12513311862227624448, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2501330796 and 2501330805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2501330831) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 37333263 + ... + 37333329.

Almost surely, 2^2501330832 is an apocalyptic number.

2501330832 is a gapful number since it is divisible by the number (22) 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 2501330832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4985993376).

2501330832 is an abundant number, since it is smaller than the sum of its proper divisors (7470655920).

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

2501330832 is a wasteful number, since it uses less digits than its factorization.

2501330832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 2501330832 is about 50013.3065493574. The cubic root of 2501330832 is about 1357.4495944981.

Adding to 2501330832 its reverse (2380331052), we get a palindrome (4881661884).

It can be divided in two parts, 2501 and 330832, that added together give a palindrome (333333).

The spelling of 2501330832 in words is "two billion, five hundred one million, three hundred thirty thousand, eight hundred thirty-two".