2786420736 has 288 divisors, whose sum is σ = 9122349600. Its totient is φ = 842711040.

The previous prime is 2786420719. The next prime is 2786420761. The reversal of 2786420736 is 6370246872.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 2786420691 and 2786420700.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5474050 + ... + 5474558.

It is an arithmetic number, because the mean of its divisors is an integer number (31674825).

Almost surely, 2^2786420736 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 2786420736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4561174800).

2786420736 is an abundant number, since it is smaller than the sum of its proper divisors (6335928864).

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

2786420736 is an equidigital number, since it uses as much as digits as its factorization.

2786420736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 557 (or 525 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The square root of 2786420736 is about 52786.5582890190. The cubic root of 2786420736 is about 1407.1775499818.

The spelling of 2786420736 in words is "two billion, seven hundred eighty-six million, four hundred twenty thousand, seven hundred thirty-six".