2755492647600 has 1920 divisors, whose sum is σ = 12212722335744. Its totient is φ = 513515520000.

The previous prime is 2755492647577. The next prime is 2755492647641. The reversal of 2755492647600 is 67462945572.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 3457330402 + ... + 3457331198.

Almost surely, 2^{2755492647600} is an apocalyptic number.

2755492647600 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 2755492647600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6106361167872).

2755492647600 is an abundant number, since it is smaller than the sum of its proper divisors (9457229688144).

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

2755492647600 is a wasteful number, since it uses less digits than its factorization.

2755492647600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 955 (or 944 counting only the distinct ones).

The product of its (nonzero) digits is 25401600, while the sum is 57.

It can be divided in two parts, 2755 and 492647600, that added together give a triangular number (492650355 = T₃₁₃₈₉).

The spelling of 2755492647600 in words is "two trillion, seven hundred fifty-five billion, four hundred ninety-two million, six hundred forty-seven thousand, six hundred".