2616416880 has 480 divisors, whose sum is σ = 10405000704. Its totient is φ = 532224000.

The previous prime is 2616416867. The next prime is 2616416893. The reversal of 2616416880 is 886146162.

It is an interprime number because it is at equal distance from previous prime (2616416867) and next prime (2616416893).

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

It is a zygodrome in base 11.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12399975 + ... + 12400185.

Almost surely, 2^2616416880 is an apocalyptic number.

2616416880 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 2616416880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5202500352).

2616416880 is an abundant number, since it is smaller than the sum of its proper divisors (7788583824).

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

2616416880 is a wasteful number, since it uses less digits than its factorization.

2616416880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 42.

The square root of 2616416880 is about 51150.9225723251. The cubic root of 2616416880 is about 1377.9569431898.

The spelling of 2616416880 in words is "two billion, six hundred sixteen million, four hundred sixteen thousand, eight hundred eighty".