2621763256 has 64 divisors (see below), whose sum is σ = 5957038080. Its totient is φ = 1056007680.

The previous prime is 2621763251. The next prime is 2621763257. The reversal of 2621763256 is 6523671262.

2621763256 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2621763251) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 865761 + ... + 868783.

It is an arithmetic number, because the mean of its divisors is an integer number (93078720).

Almost surely, 2^2621763256 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 2621763256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2978519040).

2621763256 is an abundant number, since it is smaller than the sum of its proper divisors (3335274824).

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

2621763256 is a wasteful number, since it uses less digits than its factorization.

2621763256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3964 (or 3960 counting only the distinct ones).

The product of its digits is 181440, while the sum is 40.

The square root of 2621763256 is about 51203.1566995630. The cubic root of 2621763256 is about 1378.8948752301.

The spelling of 2621763256 in words is "two billion, six hundred twenty-one million, seven hundred sixty-three thousand, two hundred fifty-six".