2561464464 has 80 divisors (see below), whose sum is σ = 7138084800. Its totient is φ = 786820608.

The previous prime is 2561464459. The next prime is 2561464489. The reversal of 2561464464 is 4644641652.

It is a super-2 number, since 2×2561464464² = 13122200400669614592, which contains 22 as substring.

Its product of digits (552960) is a multiple of the sum of its prime factors (6912).

It is an unprimeable number.

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, 408102 + ... + 414330.

It is an arithmetic number, because the mean of its divisors is an integer number (89226060).

Almost surely, 2^2561464464 is an apocalyptic number.

2561464464 is a gapful number since it is divisible by the number (24) 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 2561464464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3569042400).

2561464464 is an abundant number, since it is smaller than the sum of its proper divisors (4576620336).

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

2561464464 is a wasteful number, since it uses less digits than its factorization.

2561464464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6912 (or 6906 counting only the distinct ones).

The product of its digits is 552960, while the sum is 42.

The square root of 2561464464 is about 50610.9124991834. The cubic root of 2561464464 is about 1368.2415615968.

The spelling of 2561464464 in words is "two billion, five hundred sixty-one million, four hundred sixty-four thousand, four hundred sixty-four".