2564455224240 has 960 divisors, whose sum is σ = 11072474649600. Its totient is φ = 537127759872.

The previous prime is 2564455224223. The next prime is 2564455224271. The reversal of 2564455224240 is 424225544652.

2564455224240 is a `hidden beast` number, since 2 + 5 + 6 + 4 + 45 + 522 + 42 + 40 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 245891346 + ... + 245901774.

It is an arithmetic number, because the mean of its divisors is an integer number (11533827760).

Almost surely, 2^{2564455224240} is an apocalyptic number.

2564455224240 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 2564455224240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5536237324800).

2564455224240 is an abundant number, since it is smaller than the sum of its proper divisors (8508019425360).

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

2564455224240 is a wasteful number, since it uses less digits than its factorization.

2564455224240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10616 (or 10598 counting only the distinct ones).

The product of its (nonzero) digits is 3072000, while the sum is 45.

The spelling of 2564455224240 in words is "two trillion, five hundred sixty-four billion, four hundred fifty-five million, two hundred twenty-four thousand, two hundred forty".