2748168217600 has 297 divisors, whose sum is σ = 7385714604417. Its totient is φ = 1013435105280.

The previous prime is 2748168217547. The next prime is 2748168217637. The reversal of 2748168217600 is 67128618472.

The square root of 2748168217600 is 1657760.

It is a perfect power (a square), and thus also a powerful number.

2748168217600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 13 ways, for example, as 2595656098816 + 152512118784 = 1611104^2 + 390528^2 .

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3448140402 + ... + 3448141198.

Almost surely, 2^{2748168217600} is an apocalyptic number.

2748168217600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2748168217600 is the 1657760-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2748168217600

2748168217600 is an abundant number, since it is smaller than the sum of its proper divisors (4637546386817).

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

2748168217600 is an frugal number, since it uses more digits than its factorization.

2748168217600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1650 (or 817 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 52.

The spelling of 2748168217600 in words is "two trillion, seven hundred forty-eight billion, one hundred sixty-eight million, two hundred seventeen thousand, six hundred".