2501484633856 has 216 divisors, whose sum is σ = 5649741256320. Its totient is φ = 1102803406848.

The previous prime is 2501484633803. The next prime is 2501484633887. The reversal of 2501484633856 is 6583364841052.

It is a junction number, because it is equal to n+sod(n) for n = 2501484633797 and 2501484633806.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1013977135 + ... + 1013979601.

It is an arithmetic number, because the mean of its divisors is an integer number (26156209520).

Almost surely, 2^{2501484633856} is an apocalyptic number.

2501484633856 is a gapful number since it is divisible by the number (26) 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 2501484633856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2824870628160).

2501484633856 is an abundant number, since it is smaller than the sum of its proper divisors (3148256622464).

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

2501484633856 is a wasteful number, since it uses less digits than its factorization.

2501484633856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3551 (or 3524 counting only the distinct ones).

The product of its (nonzero) digits is 16588800, while the sum is 55.

The spelling of 2501484633856 in words is "two trillion, five hundred one billion, four hundred eighty-four million, six hundred thirty-three thousand, eight hundred fifty-six".