2563846464 has 28 divisors (see below), whose sum is σ = 6783510944. Its totient is φ = 854615424.

The previous prime is 2563846463. The next prime is 2563846469. The reversal of 2563846464 is 4646483652.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2563846463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6676492 + ... + 6676875.

It is an arithmetic number, because the mean of its divisors is an integer number (242268248).

Almost surely, 2^2563846464 is an apocalyptic number.

2563846464 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2563846464 is an abundant number, since it is smaller than the sum of its proper divisors (4219664480).

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

2563846464 is a wasteful number, since it uses less digits than its factorization.

2563846464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13353382 (or 13353372 counting only the distinct ones).

The product of its digits is 3317760, while the sum is 48.

The square root of 2563846464 is about 50634.4395051431. The cubic root of 2563846464 is about 1368.6655562424.

The spelling of 2563846464 in words is "two billion, five hundred sixty-three million, eight hundred forty-six thousand, four hundred sixty-four".