2622416256 has 256 divisors, whose sum is σ = 8019648000. Its totient is φ = 843208704.

The previous prime is 2622416249. The next prime is 2622416261. The reversal of 2622416256 is 6526142262.

2622416256 is a `hidden beast` number, since 2 + 6 + 2 + 24 + 1 + 625 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2622416256.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18866235 + ... + 18866373.

It is an arithmetic number, because the mean of its divisors is an integer number (31326750).

Almost surely, 2^2622416256 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2622416256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4009824000).

2622416256 is an abundant number, since it is smaller than the sum of its proper divisors (5397231744).

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

2622416256 is a wasteful number, since it uses less digits than its factorization.

2622416256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318 (or 300 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 2622416256 is about 51209.5328625443. The cubic root of 2622416256 is about 1379.0093457245.

The spelling of 2622416256 in words is "two billion, six hundred twenty-two million, four hundred sixteen thousand, two hundred fifty-six".