2649456969600 has 1152 divisors, whose sum is σ = 10346873472000. Its totient is φ = 594062622720.

The previous prime is 2649456969589. The next prime is 2649456969623. The reversal of 2649456969600 is 69696549462.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 7219228617 + ... + 7219228983.

It is an arithmetic number, because the mean of its divisors is an integer number (8981661000).

Almost surely, 2^{2649456969600} is an apocalyptic number.

2649456969600 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 2649456969600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5173436736000).

2649456969600 is an abundant number, since it is smaller than the sum of its proper divisors (7697416502400).

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

2649456969600 is a wasteful number, since it uses less digits than its factorization.

2649456969600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 660 (or 636 counting only the distinct ones).

The product of its (nonzero) digits is 151165440, while the sum is 66.

The spelling of 2649456969600 in words is "two trillion, six hundred forty-nine billion, four hundred fifty-six million, nine hundred sixty-nine thousand, six hundred".