2746826880000 has 440 divisors, whose sum is σ = 10455697255872. Its totient is φ = 627843072000.

The previous prime is 2746826879987. The next prime is 2746826880013. The reversal of 2746826880000 is 886286472.

2746826880000 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 (2746826879987) and next prime (2746826880013).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 13337812 + ... + 13542188.

Almost surely, 2^{2746826880000} is an apocalyptic number.

2746826880000 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 2746826880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5227848627936).

2746826880000 is an abundant number, since it is smaller than the sum of its proper divisors (7708870375872).

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

2746826880000 is an equidigital number, since it uses as much as digits as its factorization.

2746826880000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204427 (or 204394 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 51.

The spelling of 2746826880000 in words is "two trillion, seven hundred forty-six billion, eight hundred twenty-six million, eight hundred eighty thousand".