2279624256 has 672 divisors, whose sum is σ = 8918448000. Its totient is φ = 564350976.

The previous prime is 2279624251. The next prime is 2279624267. The reversal of 2279624256 is 6524269722.

It is a tau number, because it is divible by the number of its divisors (672).

It is not an unprimeable number, because it can be changed into a prime (2279624251) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20913930 + ... + 20914038.

It is an arithmetic number, because the mean of its divisors is an integer number (13271500).

Almost surely, 2^2279624256 is an apocalyptic number.

2279624256 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 2279624256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4459224000).

2279624256 is an abundant number, since it is smaller than the sum of its proper divisors (6638823744).

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

2279624256 is a wasteful number, since it uses less digits than its factorization.

2279624256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 153 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The square root of 2279624256 is about 47745.4108370637. The cubic root of 2279624256 is about 1316.0965675327.

The spelling of 2279624256 in words is "two billion, two hundred seventy-nine million, six hundred twenty-four thousand, two hundred fifty-six".