2564736330240 has 1440 divisors, whose sum is σ = 10755574974144. Its totient is φ = 562709790720.

The previous prime is 2564736330203. The next prime is 2564736330257. The reversal of 2564736330240 is 420336374652.

2564736330240 is a `hidden beast` number, since 2 + 5 + 6 + 4 + 7 + 3 + 633 + 0 + 2 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3101252707 + ... + 3101253533.

Almost surely, 2^{2564736330240} is an apocalyptic number.

2564736330240 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 2564736330240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5377787487072).

2564736330240 is an abundant number, since it is smaller than the sum of its proper divisors (8190838643904).

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

2564736330240 is a wasteful number, since it uses less digits than its factorization.

2564736330240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 978 (or 952 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 45.

The spelling of 2564736330240 in words is "two trillion, five hundred sixty-four billion, seven hundred thirty-six million, three hundred thirty thousand, two hundred forty".