2546571264 has 96 divisors (see below), whose sum is σ = 6860795760. Its totient is φ = 839909376.

The previous prime is 2546571259. The next prime is 2546571281. The reversal of 2546571264 is 4621756452.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 593832 + ... + 598104.

Almost surely, 2^2546571264 is an apocalyptic number.

2546571264 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 2546571264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3430397880).

2546571264 is an abundant number, since it is smaller than the sum of its proper divisors (4314224496).

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

2546571264 is an equidigital number, since it uses as much as digits as its factorization.

2546571264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4395 (or 4375 counting only the distinct ones).

The product of its digits is 403200, while the sum is 42.

The square root of 2546571264 is about 50463.5637267128. The cubic root of 2546571264 is about 1365.5846027348.

The spelling of 2546571264 in words is "two billion, five hundred forty-six million, five hundred seventy-one thousand, two hundred sixty-four".