2506835520 has 448 divisors, whose sum is σ = 10207142400. Its totient is φ = 567336960.

The previous prime is 2506835477. The next prime is 2506835531. The reversal of 2506835520 is 255386052.

It is a happy number.

2506835520 is a `hidden beast` number, since 2 + 50 + 6 + 83 + 5 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 63 ways as a sum of consecutive naturals, for example, 10946766 + ... + 10946994.

It is an arithmetic number, because the mean of its divisors is an integer number (22783800).

Almost surely, 2^2506835520 is an apocalyptic number.

2506835520 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 2506835520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5103571200).

2506835520 is an abundant number, since it is smaller than the sum of its proper divisors (7700306880).

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

2506835520 is a wasteful number, since it uses less digits than its factorization.

2506835520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 443 (or 427 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The square root of 2506835520 is about 50068.3085394344. The cubic root of 2506835520 is about 1358.4446463619. Note that the first 3 decimals are identical.

The spelling of 2506835520 in words is "two billion, five hundred six million, eight hundred thirty-five thousand, five hundred twenty".