2755918021248 has 256 divisors, whose sum is σ = 9336366816000. Its totient is φ = 783965122560.

The previous prime is 2755918021247. The next prime is 2755918021279. The reversal of 2755918021248 is 8421208195572.

It is a happy number.

2755918021248 is a `hidden beast` number, since 2 + 7 + 5 + 591 + 8 + 0 + 2 + 1 + 2 + 48 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 2755918021194 and 2755918021203.

It is not an unprimeable number, because it can be changed into a prime (2755918021247) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5291238 + ... + 5788698.

It is an arithmetic number, because the mean of its divisors is an integer number (36470182875).

Almost surely, 2^{2755918021248} is an apocalyptic number.

2755918021248 is a gapful number since it is divisible by the number (28) 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 2755918021248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4668183408000).

2755918021248 is an abundant number, since it is smaller than the sum of its proper divisors (6580448794752).

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

2755918021248 is a wasteful number, since it uses less digits than its factorization.

2755918021248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 497720 (or 497702 counting only the distinct ones).

The product of its (nonzero) digits is 3225600, while the sum is 54.

The spelling of 2755918021248 in words is "two trillion, seven hundred fifty-five billion, nine hundred eighteen million, twenty-one thousand, two hundred forty-eight".