2501216879616 has 1760 divisors, whose sum is σ = 9826952002560. Its totient is φ = 615303806976.

The previous prime is 2501216879591. The next prime is 2501216879641. The reversal of 2501216879616 is 6169786121052.

It is a happy number.

2501216879616 is a `hidden beast` number, since 2 + 5 + 0 + 1 + 2 + 16 + 8 + 7 + 9 + 616 = 666.

It is an interprime number because it is at equal distance from previous prime (2501216879591) and next prime (2501216879641).

It is a Harshad number since it is a multiple of its sum of digits (54).

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 159 ways as a sum of consecutive naturals, for example, 15344888751 + ... + 15344888913.

It is an arithmetic number, because the mean of its divisors is an integer number (5583495456).

Almost surely, 2^{2501216879616} is an apocalyptic number.

2501216879616 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 2501216879616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4913476001280).

2501216879616 is an abundant number, since it is smaller than the sum of its proper divisors (7325735122944).

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

2501216879616 is a wasteful number, since it uses less digits than its factorization.

2501216879616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 2501216879616 in words is "two trillion, five hundred one billion, two hundred sixteen million, eight hundred seventy-nine thousand, six hundred sixteen".