2849680074240 has 240 divisors, whose sum is σ = 9873048227328. Its totient is φ = 759621746688.

The previous prime is 2849680074223. The next prime is 2849680074247. The reversal of 2849680074240 is 424700869482.

2849680074240 is a `hidden beast` number, since 2 + 8 + 496 + 80 + 0 + 74 + 2 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2849680074247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 63406657 + ... + 63451583.

Almost surely, 2^{2849680074240} is an apocalyptic number.

2849680074240 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 2849680074240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4936524113664).

2849680074240 is an abundant number, since it is smaller than the sum of its proper divisors (7023368153088).

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

2849680074240 is a wasteful number, since it uses less digits than its factorization.

2849680074240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47709 (or 47690 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 2849680074240 in words is "two trillion, eight hundred forty-nine billion, six hundred eighty million, seventy-four thousand, two hundred forty".