2549643264 has 288 divisors, whose sum is σ = 8795077200. Its totient is φ = 727695360.

The previous prime is 2549643251. The next prime is 2549643331. The reversal of 2549643264 is 4623469452.

2549643264 is a `hidden beast` number, since 2 + 549 + 6 + 43 + 2 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2709034 + ... + 2709974.

Almost surely, 2^2549643264 is an apocalyptic number.

2549643264 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 2549643264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4397538600).

2549643264 is an abundant number, since it is smaller than the sum of its proper divisors (6245433936).

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

2549643264 is an equidigital number, since it uses as much as digits as its factorization.

2549643264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 986 (or 953 counting only the distinct ones).

The product of its digits is 1244160, while the sum is 45.

The square root of 2549643264 is about 50493.9923555268. The cubic root of 2549643264 is about 1366.1334963536.

The spelling of 2549643264 in words is "two billion, five hundred forty-nine million, six hundred forty-three thousand, two hundred sixty-four".