2786249664 has 392 divisors, whose sum is σ = 9294784560. Its totient is φ = 821145600.

The previous prime is 2786249621. The next prime is 2786249677. The reversal of 2786249664 is 4669426872.

2786249664 is a `hidden beast` number, since 2 + 7 + 8 + 624 + 9 + 6 + 6 + 4 = 666.

It is a super-2 number, since 2×2786249664² = 15526374380280225792, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2786249664.

It is a congruent number.

It is an unprimeable number.

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 55 ways as a sum of consecutive naturals, for example, 31306132 + ... + 31306220.

Almost surely, 2^2786249664 is an apocalyptic number.

2786249664 is a gapful number since it is divisible by the number (24) 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 2786249664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4647392280).

2786249664 is an abundant number, since it is smaller than the sum of its proper divisors (6508534896).

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

2786249664 is an equidigital number, since it uses as much as digits as its factorization.

2786249664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 166 counting only the distinct ones).

The product of its digits is 6967296, while the sum is 54.

The square root of 2786249664 is about 52784.9378516258. The cubic root of 2786249664 is about 1407.1487515545.

The spelling of 2786249664 in words is "two billion, seven hundred eighty-six million, two hundred forty-nine thousand, six hundred sixty-four".