2640691021248 has 336 divisors, whose sum is σ = 8758717194240. Its totient is φ = 745053990912.

The previous prime is 2640691021247. The next prime is 2640691021271. The reversal of 2640691021248 is 8421201960462.

It is a happy number.

2640691021248 is a `hidden beast` number, since 26 + 406 + 9 + 1 + 0 + 212 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2640691021247) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 309681561 + ... + 309690087.

Almost surely, 2^{2640691021248} is an apocalyptic number.

2640691021248 is a gapful number since it is divisible by the number (28) 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 2640691021248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4379358597120).

2640691021248 is an abundant number, since it is smaller than the sum of its proper divisors (6118026172992).

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

2640691021248 is a wasteful number, since it uses less digits than its factorization.

2640691021248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9504 (or 9491 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 2640691021248 in words is "two trillion, six hundred forty billion, six hundred ninety-one million, twenty-one thousand, two hundred forty-eight".