2049508790784 has 800 divisors, whose sum is σ = 7683260323200. Its totient is φ = 540481019904.

The previous prime is 2049508790783. The next prime is 2049508790801. The reversal of 2049508790784 is 4870978059402.

2049508790784 is a `hidden beast` number, since 2 + 0 + 49 + 508 + 7 + 9 + 0 + 7 + 84 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (2049508790783) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 184918107 + ... + 184929189.

It is an arithmetic number, because the mean of its divisors is an integer number (9604075404).

Almost surely, 2^{2049508790784} is an apocalyptic number.

2049508790784 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 2049508790784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3841630161600).

2049508790784 is an abundant number, since it is smaller than the sum of its proper divisors (5633751532416).

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

2049508790784 is an equidigital number, since it uses as much as digits as its factorization.

2049508790784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11147 (or 11108 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 63.

The spelling of 2049508790784 in words is "two trillion, forty-nine billion, five hundred eight million, seven hundred ninety thousand, seven hundred eighty-four".