2786488320 has 832 divisors, whose sum is σ = 12078120960. Its totient is φ = 530841600.

The previous prime is 2786488291. The next prime is 2786488321. The reversal of 2786488320 is 238846872.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 2786488320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2786488321) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 89886705 + ... + 89886735.

Almost surely, 2^2786488320 is an apocalyptic number.

2786488320 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 2786488320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6039060480).

2786488320 is an abundant number, since it is smaller than the sum of its proper divisors (9291632640).

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

2786488320 is a wasteful number, since it uses less digits than its factorization.

2786488320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 48.

The square root of 2786488320 is about 52787.1984481086. The cubic root of 2786488320 is about 1407.1889268134.

The spelling of 2786488320 in words is "two billion, seven hundred eighty-six million, four hundred eighty-eight thousand, three hundred twenty".