2785477680 has 320 divisors, whose sum is σ = 9989360640. Its totient is φ = 712857600.

The previous prime is 2785477661. The next prime is 2785477703. The reversal of 2785477680 is 867745872.

It is a happy number.

2785477680 is a `hidden beast` number, since 27 + 8 + 547 + 76 + 8 + 0 = 666.

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

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, 6287539 + ... + 6287981.

It is an arithmetic number, because the mean of its divisors is an integer number (31216752).

Almost surely, 2^2785477680 is an apocalyptic number.

2785477680 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 2785477680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4994680320).

2785477680 is an abundant number, since it is smaller than the sum of its proper divisors (7203882960).

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

2785477680 is a wasteful number, since it uses less digits than its factorization.

2785477680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 577 (or 565 counting only the distinct ones).

The product of its (nonzero) digits is 5268480, while the sum is 54.

The square root of 2785477680 is about 52777.6248044567. The cubic root of 2785477680 is about 1407.0187803513.

The spelling of 2785477680 in words is "two billion, seven hundred eighty-five million, four hundred seventy-seven thousand, six hundred eighty".