2613680402550 has 768 divisors, whose sum is σ = 8214879928320. Its totient is φ = 536590656000.

The previous prime is 2613680402521. The next prime is 2613680402573. The reversal of 2613680402550 is 552040863162.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 8404116895 + ... + 8404117205.

It is an arithmetic number, because the mean of its divisors is an integer number (10696458240).

Almost surely, 2^{2613680402550} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2613680402550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4107439964160).

2613680402550 is an abundant number, since it is smaller than the sum of its proper divisors (5601199525770).

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

2613680402550 is a wasteful number, since it uses less digits than its factorization.

2613680402550 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 617 (or 612 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 42.

The spelling of 2613680402550 in words is "two trillion, six hundred thirteen billion, six hundred eighty million, four hundred two thousand, five hundred fifty".