2616423059250 has 960 divisors, whose sum is σ = 9878768190720. Its totient is φ = 501800832000.

The previous prime is 2616423059183. The next prime is 2616423059317. The reversal of 2616423059250 is 529503246162.

2616423059250 is a `hidden beast` number, since 2 + 6 + 1 + 6 + 4 + 2 + 3 + 0 + 592 + 50 = 666.

It is an interprime number because it is at equal distance from previous prime (2616423059183) and next prime (2616423059317).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 2616423059196 and 2616423059205.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 263508286 + ... + 263518214.

It is an arithmetic number, because the mean of its divisors is an integer number (10290383532).

Almost surely, 2^{2616423059250} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2616423059250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4939384095360).

2616423059250 is an abundant number, since it is smaller than the sum of its proper divisors (7262345131470).

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

2616423059250 is a wasteful number, since it uses less digits than its factorization.

2616423059250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10002 (or 9970 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 2616423059250 in words is "two trillion, six hundred sixteen billion, four hundred twenty-three million, fifty-nine thousand, two hundred fifty".