2648631508992 has 1536 divisors, whose sum is σ = 9938838873600. Its totient is φ = 687970713600.

The previous prime is 2648631508979. The next prime is 2648631508997. The reversal of 2648631508992 is 2998051368462.

2648631508992 is a `hidden beast` number, since 2 + 6 + 4 + 8 + 6 + 31 + 508 + 9 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2648631508997) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 43420188642 + ... + 43420188702.

It is an arithmetic number, because the mean of its divisors is an integer number (6470598225).

Almost surely, 2^{2648631508992} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2648631508992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4969419436800).

2648631508992 is an abundant number, since it is smaller than the sum of its proper divisors (7290207364608).

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

2648631508992 is an frugal number, since it uses more digits than its factorization.

2648631508992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 44789760, while the sum is 63.

The spelling of 2648631508992 in words is "two trillion, six hundred forty-eight billion, six hundred thirty-one million, five hundred eight thousand, nine hundred ninety-two".