2655915546240 has 1152 divisors, whose sum is σ = 10545963143040. Its totient is φ = 610589491200.

The previous prime is 2655915546203. The next prime is 2655915546257. The reversal of 2655915546240 is 426455195562.

2655915546240 is a `hidden beast` number, since 2 + 6 + 5 + 5 + 9 + 1 + 5 + 5 + 4 + 624 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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 143 ways as a sum of consecutive naturals, for example, 3227114469 + ... + 3227115291.

It is an arithmetic number, because the mean of its divisors is an integer number (9154481895).

Almost surely, 2^{2655915546240} is an apocalyptic number.

2655915546240 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 2655915546240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5272981571520).

2655915546240 is an abundant number, since it is smaller than the sum of its proper divisors (7890047596800).

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

2655915546240 is a wasteful number, since it uses less digits than its factorization.

2655915546240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 974 (or 928 counting only the distinct ones).

The product of its (nonzero) digits is 12960000, while the sum is 54.

The spelling of 2655915546240 in words is "two trillion, six hundred fifty-five billion, nine hundred fifteen million, five hundred forty-six thousand, two hundred forty".