2501055648 has 216 divisors, whose sum is σ = 8910664308. Its totient is φ = 659570688.

The previous prime is 2501055631. The next prime is 2501055649. The reversal of 2501055648 is 8465501052.

2501055648 is a `hidden beast` number, since 2 + 5 + 0 + 1 + 0 + 5 + 5 + 648 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2481235344 + 19820304 = 49812^2 + 4452^2 .

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

It is not an unprimeable number, because it can be changed into a prime (2501055649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 176640 + ... + 190272.

Almost surely, 2^2501055648 is an apocalyptic number.

2501055648 is a gapful number since it is divisible by the number (28) 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 2501055648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4455332154).

2501055648 is an abundant number, since it is smaller than the sum of its proper divisors (6409608660).

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

2501055648 is a wasteful number, since it uses less digits than its factorization.

2501055648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13676 (or 13658 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The square root of 2501055648 is about 50010.5553658425. Note that the first 3 decimals coincide. The cubic root of 2501055648 is about 1357.3998127174.

The spelling of 2501055648 in words is "two billion, five hundred one million, fifty-five thousand, six hundred forty-eight".