2620227456 has 384 divisors, whose sum is σ = 9521740800. Its totient is φ = 671846400.

The previous prime is 2620227427. The next prime is 2620227461. The reversal of 2620227456 is 6547220262.

2620227456 is a `hidden beast` number, since 2 + 620 + 2 + 27 + 4 + 5 + 6 = 666.

2620227456 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

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 2620227456.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9668601 + ... + 9668871.

It is an arithmetic number, because the mean of its divisors is an integer number (24796200).

Almost surely, 2^2620227456 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 2620227456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4760870400).

2620227456 is an abundant number, since it is smaller than the sum of its proper divisors (6901513344).

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

2620227456 is a wasteful number, since it uses less digits than its factorization.

2620227456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 2620227456 is about 51188.1573803941. The cubic root of 2620227456 is about 1378.6255755023.

The spelling of 2620227456 in words is "two billion, six hundred twenty million, two hundred twenty-seven thousand, four hundred fifty-six".