2649708821760 has 3456 divisors, whose sum is σ = 12514413219840. Its totient is φ = 468202291200.

The previous prime is 2649708821729. The next prime is 2649708821761. The reversal of 2649708821760 is 671288079462.

It is a happy number.

It is a super-2 number, since 2×2649708821760² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 2649708821694 and 2649708821703.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2649708821761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 36297381084 + ... + 36297381156.

It is an arithmetic number, because the mean of its divisors is an integer number (3621068640).

Almost surely, 2^{2649708821760} is an apocalyptic number.

2649708821760 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 2649708821760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6257206609920).

2649708821760 is an abundant number, since it is smaller than the sum of its proper divisors (9864704398080).

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

2649708821760 is a wasteful number, since it uses less digits than its factorization.

2649708821760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 16257024, while the sum is 60.

The spelling of 2649708821760 in words is "two trillion, six hundred forty-nine billion, seven hundred eight million, eight hundred twenty-one thousand, seven hundred sixty".