2798681760 has 384 divisors, whose sum is σ = 11786342400. Its totient is φ = 605905920.

The previous prime is 2798681759. The next prime is 2798681849. The reversal of 2798681760 is 671868972.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 2798681697 and 2798681706.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 572125 + ... + 576995.

It is an arithmetic number, because the mean of its divisors is an integer number (30693600).

Almost surely, 2^2798681760 is an apocalyptic number.

2798681760 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 2798681760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5893171200).

2798681760 is an abundant number, since it is smaller than the sum of its proper divisors (8987660640).

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

2798681760 is a wasteful number, since it uses less digits than its factorization.

2798681760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4921 (or 4907 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The square root of 2798681760 is about 52902.5685576797. The cubic root of 2798681760 is about 1409.2385204754.

It can be divided in two parts, 27986 and 81760, that added together give a triangular number (109746 = T₄₆₈).

The spelling of 2798681760 in words is "two billion, seven hundred ninety-eight million, six hundred eighty-one thousand, seven hundred sixty".