2540664000 has 504 divisors, whose sum is σ = 10535070624. Its totient is φ = 572544000.

The previous prime is 2540663999. The next prime is 2540664013. The reversal of 2540664000 is 4660452.

It is a happy number.

2540664000 is a `hidden beast` number, since 254 + 0 + 6 + 6 + 400 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 35783965 + ... + 35784035.

Almost surely, 2^2540664000 is an apocalyptic number.

2540664000 is a gapful number since it is divisible by the number (20) 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 2540664000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5267535312).

2540664000 is an abundant number, since it is smaller than the sum of its proper divisors (7994406624).

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

2540664000 is an equidigital number, since it uses as much as digits as its factorization.

2540664000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 2540664000 is about 50404.9997520087. Note that the first 3 decimals coincide. The cubic root of 2540664000 is about 1364.5278727856.

The spelling of 2540664000 in words is "two billion, five hundred forty million, six hundred sixty-four thousand".