2784241130000 has 400 divisors, whose sum is σ = 8037649128960. Its totient is φ = 922137600000.

The previous prime is 2784241129951. The next prime is 2784241130009. The reversal of 2784241130000 is 311424872.

It is a tau number, because it is divible by the number of its divisors (400).

It is not an unprimeable number, because it can be changed into a prime (2784241130009) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 57945986 + ... + 57994014.

Almost surely, 2^{2784241130000} is an apocalyptic number.

2784241130000 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 2784241130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4018824564480).

2784241130000 is an abundant number, since it is smaller than the sum of its proper divisors (5253407998960).

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

2784241130000 is a wasteful number, since it uses less digits than its factorization.

2784241130000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48116 (or 48095 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 32.

Adding to 2784241130000 its reverse (311424872), we get a palindrome (2784552554872).

The spelling of 2784241130000 in words is "two trillion, seven hundred eighty-four billion, two hundred forty-one million, one hundred thirty thousand".