2655679703040 has 2304 divisors, whose sum is σ = 12535842009600. Its totient is φ = 526764736512.

The previous prime is 2655679703011. The next prime is 2655679703041. The reversal of 2655679703040 is 403079765562.

2655679703040 is a `hidden beast` number, since 2 + 6 + 5 + 567 + 9 + 7 + 0 + 30 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

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

It is not an unprimeable number, because it can be changed into a prime (2655679703041) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2994001477 + ... + 2994002363.

It is an arithmetic number, because the mean of its divisors is an integer number (5440903650).

Almost surely, 2^{2655679703040} is an apocalyptic number.

2655679703040 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 2655679703040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6267921004800).

2655679703040 is an abundant number, since it is smaller than the sum of its proper divisors (9880162306560).

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

2655679703040 is a wasteful number, since it uses less digits than its factorization.

2655679703040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 967 (or 934 counting only the distinct ones).

The product of its (nonzero) digits is 9525600, while the sum is 54.

The spelling of 2655679703040 in words is "two trillion, six hundred fifty-five billion, six hundred seventy-nine million, seven hundred three thousand, forty".