2656111248 has 180 divisors, whose sum is σ = 8926714368. Its totient is φ = 734348160.

The previous prime is 2656111181. The next prime is 2656111259. The reversal of 2656111248 is 8421116562.

It is a happy number.

2656111248 is a `hidden beast` number, since 26 + 5 + 611 + 12 + 4 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 212665 + ... + 224807.

Almost surely, 2^2656111248 is an apocalyptic number.

2656111248 is a gapful number since it is divisible by the number (28) 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 2656111248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4463357184).

2656111248 is an abundant number, since it is smaller than the sum of its proper divisors (6270603120).

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

2656111248 is a wasteful number, since it uses less digits than its factorization.

2656111248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12202 (or 12186 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The square root of 2656111248 is about 51537.4742105199. The cubic root of 2656111248 is about 1384.8904496146.

The spelling of 2656111248 in words is "two billion, six hundred fifty-six million, one hundred eleven thousand, two hundred forty-eight".