2755149649200 has 840 divisors, whose sum is σ = 10735988477760. Its totient is φ = 675130982400.

The previous prime is 2755149649199. The next prime is 2755149649201. The reversal of 2755149649200 is 29469415572.

It is a happy number.

2755149649200 is a `hidden beast` number, since 2 + 7 + 5 + 5 + 149 + 6 + 492 + 0 + 0 = 666.

2755149649200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2755149649199) and next prime (2755149649201).

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 (2755149649201) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 905999680 + ... + 906002720.

It is an arithmetic number, because the mean of its divisors is an integer number (12780938664).

Almost surely, 2^{2755149649200} is an apocalyptic number.

2755149649200 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 2755149649200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5367994238880).

2755149649200 is an abundant number, since it is smaller than the sum of its proper divisors (7980838828560).

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

2755149649200 is a wasteful number, since it uses less digits than its factorization.

2755149649200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3329 (or 3303 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 2755149649200 in words is "two trillion, seven hundred fifty-five billion, one hundred forty-nine million, six hundred forty-nine thousand, two hundred".