2640534994944 has 1152 divisors, whose sum is σ = 9908250281280. Its totient is φ = 663728947200.

The previous prime is 2640534994927. The next prime is 2640534995003. The reversal of 2640534994944 is 4494994350462.

It is a happy number.

2640534994944 is a `hidden beast` number, since 2 + 6 + 4 + 0 + 53 + 4 + 99 + 494 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 85178548209 + ... + 85178548239.

Almost surely, 2^{2640534994944} is an apocalyptic number.

2640534994944 is a gapful number since it is divisible by the number (24) 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 2640534994944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4954125140640).

2640534994944 is an abundant number, since it is smaller than the sum of its proper divisors (7267715286336).

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

2640534994944 is an frugal number, since it uses more digits than its factorization.

2640534994944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 134369280, while the sum is 63.

The spelling of 2640534994944 in words is "two trillion, six hundred forty billion, five hundred thirty-four million, nine hundred ninety-four thousand, nine hundred forty-four".