2798364935520 has 2304 divisors, whose sum is σ = 12802171253760. Its totient is φ = 564350976000.

The previous prime is 2798364935507. The next prime is 2798364935533. The reversal of 2798364935520 is 255394638972.

2798364935520 is a `hidden beast` number, since 2 + 7 + 9 + 8 + 36 + 49 + 3 + 552 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2798364935507) and next prime (2798364935533).

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

It is a congruent number.

It is an unprimeable number.

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 383 ways as a sum of consecutive naturals, for example, 17167882959 + ... + 17167883121.

It is an arithmetic number, because the mean of its divisors is an integer number (5556497940).

Almost surely, 2^{2798364935520} is an apocalyptic number.

2798364935520 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 2798364935520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6401085626880).

2798364935520 is an abundant number, since it is smaller than the sum of its proper divisors (10003806318240).

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

2798364935520 is a wasteful number, since it uses less digits than its factorization.

2798364935520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 97977600, while the sum is 63.

The spelling of 2798364935520 in words is "two trillion, seven hundred ninety-eight billion, three hundred sixty-four million, nine hundred thirty-five thousand, five hundred twenty".