2501961668640 has 288 divisors, whose sum is σ = 9803903630976. Its totient is φ = 569166151680.

The previous prime is 2501961668543. The next prime is 2501961668641. The reversal of 2501961668640 is 468661691052.

2501961668640 is a `hidden beast` number, since 2 + 5 + 0 + 19 + 616 + 6 + 8 + 6 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (2501961668641) by changing a digit.

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, 1538704 + ... + 2715056.

It is an arithmetic number, because the mean of its divisors is an integer number (34041332052).

Almost surely, 2^{2501961668640} is an apocalyptic number.

2501961668640 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 2501961668640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4901951815488).

2501961668640 is an abundant number, since it is smaller than the sum of its proper divisors (7301941962336).

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

2501961668640 is a wasteful number, since it uses less digits than its factorization.

2501961668640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1176592 (or 1176581 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 2501961668640 in words is "two trillion, five hundred one billion, nine hundred sixty-one million, six hundred sixty-eight thousand, six hundred forty".