2798401536 has 432 divisors, whose sum is σ = 9891488880. Its totient is φ = 746127360.

The previous prime is 2798401519. The next prime is 2798401553. The reversal of 2798401536 is 6351048972.

2798401536 is a `hidden beast` number, since 2 + 79 + 8 + 40 + 1 + 536 = 666.

2798401536 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2798401519) and next prime (2798401553).

2798401536 is strictly pandigital in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 2798401491 and 2798401500.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 68253676 + ... + 68253716.

It is an arithmetic number, because the mean of its divisors is an integer number (22896965).

It is a 1-persistent number, because it is pandigital, but 2⋅2798401536 = 5596803072 is not.

Almost surely, 2^2798401536 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2798401536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4945744440).

2798401536 is an abundant number, since it is smaller than the sum of its proper divisors (7093087344).

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

2798401536 is a wasteful number, since it uses less digits than its factorization.

2798401536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 2798401536 is about 52899.9199999395. The cubic root of 2798401536 is about 1409.1914845647.

The spelling of 2798401536 in words is "two billion, seven hundred ninety-eight million, four hundred one thousand, five hundred thirty-six".