2750449768704 has 567 divisors, whose sum is σ = 9073811015409. Its totient is φ = 831081461760.

The previous prime is 2750449768699. The next prime is 2750449768763. The reversal of 2750449768704 is 4078679440572.

The square root of 2750449768704 is 1658448.

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

2750449768704 is a `hidden beast` number, since 2 + 7 + 50 + 449 + 76 + 8 + 70 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2018809039104 + 731640729600 = 1420848^2 + 855360^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 7880944722 + ... + 7880945070.

Almost surely, 2^{2750449768704} is an apocalyptic number.

2750449768704 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

2750449768704 is the 1658448-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2750449768704

2750449768704 is an abundant number, since it is smaller than the sum of its proper divisors (6323361246705).

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

2750449768704 is an frugal number, since it uses more digits than its factorization.

2750449768704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 754 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 94832640, while the sum is 63.

It can be divided in two parts, 2750449 and 768704, that added together give a palindrome (3519153).

The spelling of 2750449768704 in words is "two trillion, seven hundred fifty billion, four hundred forty-nine million, seven hundred sixty-eight thousand, seven hundred four".