2654559008640 has 1280 divisors, whose sum is σ = 12514669516800. Its totient is φ = 519136542720.

The previous prime is 2654559008581. The next prime is 2654559008641. The reversal of 2654559008640 is 468009554562.

2654559008640 is a `hidden beast` number, since 2 + 6 + 5 + 4 + 5 + 590 + 0 + 8 + 6 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2654559008641) by changing a digit.

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 159 ways as a sum of consecutive naturals, for example, 67839001 + ... + 67878119.

It is an arithmetic number, because the mean of its divisors is an integer number (9777085560).

Almost surely, 2^{2654559008640} is an apocalyptic number.

2654559008640 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 2654559008640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6257334758400).

2654559008640 is an abundant number, since it is smaller than the sum of its proper divisors (9860110508160).

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

2654559008640 is a wasteful number, since it uses less digits than its factorization.

2654559008640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39185 (or 39164 counting only the distinct ones).

The product of its (nonzero) digits is 10368000, while the sum is 54.

The spelling of 2654559008640 in words is "two trillion, six hundred fifty-four billion, five hundred fifty-nine million, eight thousand, six hundred forty".