2746213403248 has 80 divisors (see below), whose sum is σ = 6145450041024. Its totient is φ = 1164462612480.

The previous prime is 2746213403209. The next prime is 2746213403251. The reversal of 2746213403248 is 8423043126472.

2746213403248 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 2746213403198 and 2746213403207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37563786 + ... + 37636822.

Almost surely, 2^{2746213403248} is an apocalyptic number.

2746213403248 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 2746213403248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3072725020512).

2746213403248 is an abundant number, since it is smaller than the sum of its proper divisors (3399236637776).

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

2746213403248 is a wasteful number, since it uses less digits than its factorization.

2746213403248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76610 (or 76604 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 46.

The spelling of 2746213403248 in words is "two trillion, seven hundred forty-six billion, two hundred thirteen million, four hundred three thousand, two hundred forty-eight".