2506331520 has 384 divisors, whose sum is σ = 10792154880. Its totient is φ = 520704000.

The previous prime is 2506331489. The next prime is 2506331549. The reversal of 2506331520 is 251336052.

2506331520 is a `hidden beast` number, since 2 + 5 + 0 + 633 + 1 + 5 + 20 = 666.

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

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, 440695 + ... + 446345.

It is an arithmetic number, because the mean of its divisors is an integer number (28104570).

Almost surely, 2^2506331520 is an apocalyptic number.

2506331520 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 2506331520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5396077440).

2506331520 is an abundant number, since it is smaller than the sum of its proper divisors (8285823360).

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

2506331520 is a wasteful number, since it uses less digits than its factorization.

2506331520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5694 (or 5679 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 2506331520 is about 50063.2751625381. The cubic root of 2506331520 is about 1358.3536016982.

Adding to 2506331520 its reverse (251336052), we get a palindrome (2757667572).

The spelling of 2506331520 in words is "two billion, five hundred six million, three hundred thirty-one thousand, five hundred twenty".