2563950768 has 80 divisors (see below), whose sum is σ = 6787946496. Its totient is φ = 833564160.

The previous prime is 2563950757. The next prime is 2563950769. The reversal of 2563950768 is 8670593652.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 2563950768.

It is not an unprimeable number, because it can be changed into a prime (2563950769) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 704313 + ... + 707943.

Almost surely, 2^2563950768 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 2563950768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3393973248).

2563950768 is an abundant number, since it is smaller than the sum of its proper divisors (4223995728).

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

2563950768 is a wasteful number, since it uses less digits than its factorization.

2563950768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4002 (or 3996 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 51.

The square root of 2563950768 is about 50635.4694655831. The cubic root of 2563950768 is about 1368.6841162925.

The spelling of 2563950768 in words is "two billion, five hundred sixty-three million, nine hundred fifty thousand, seven hundred sixty-eight".