2656417379616 has 864 divisors, whose sum is σ = 10348281111168. Its totient is φ = 635394170880.

The previous prime is 2656417379611. The next prime is 2656417379641. The reversal of 2656417379616 is 6169737146562.

It is a happy number.

2656417379616 is a `hidden beast` number, since 2 + 6 + 5 + 6 + 4 + 1 + 7 + 3 + 7 + 9 + 616 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (2656417379611) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1015060740 + ... + 1015063356.

It is an arithmetic number, because the mean of its divisors is an integer number (11977177212).

Almost surely, 2^{2656417379616} is an apocalyptic number.

2656417379616 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 2656417379616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5174140555584).

2656417379616 is an abundant number, since it is smaller than the sum of its proper divisors (7691863731552).

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

2656417379616 is a wasteful number, since it uses less digits than its factorization.

2656417379616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3174 (or 3156 counting only the distinct ones).

The product of its digits is 68584320, while the sum is 63.

The spelling of 2656417379616 in words is "two trillion, six hundred fifty-six billion, four hundred seventeen million, three hundred seventy-nine thousand, six hundred sixteen".