2649957764160 has 448 divisors, whose sum is σ = 10348114106880. Its totient is φ = 560727982080.

The previous prime is 2649957764147. The next prime is 2649957764203. The reversal of 2649957764160 is 614677599462.

It is a tau number, because it is divible by the number of its divisors (448).

It is a junction number, because it is equal to n+sod(n) for n = 2649957764091 and 2649957764100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6778506 + ... + 7158774.

Almost surely, 2^{2649957764160} is an apocalyptic number.

2649957764160 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 2649957764160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5174057053440).

2649957764160 is an abundant number, since it is smaller than the sum of its proper divisors (7698156342720).

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

2649957764160 is a wasteful number, since it uses less digits than its factorization.

2649957764160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380374 (or 380364 counting only the distinct ones).

The product of its (nonzero) digits is 137168640, while the sum is 66.

The spelling of 2649957764160 in words is "two trillion, six hundred forty-nine billion, nine hundred fifty-seven million, seven hundred sixty-four thousand, one hundred sixty".