2649826059240 has 256 divisors, whose sum is σ = 8236471910400. Its totient is φ = 681457867776.

The previous prime is 2649826059239. The next prime is 2649826059269. The reversal of 2649826059240 is 429506289462.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 939986551 + ... + 939989369.

It is an arithmetic number, because the mean of its divisors is an integer number (32173718400).

Almost surely, 2^{2649826059240} is an apocalyptic number.

2649826059240 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 2649826059240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4118235955200).

2649826059240 is an abundant number, since it is smaller than the sum of its proper divisors (5586645851160).

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

2649826059240 is a wasteful number, since it uses less digits than its factorization.

2649826059240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4664 (or 4660 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 57.

The spelling of 2649826059240 in words is "two trillion, six hundred forty-nine billion, eight hundred twenty-six million, fifty-nine thousand, two hundred forty".