2783095680 has 512 divisors, whose sum is σ = 10152345600. Its totient is φ = 644751360.

The previous prime is 2783095673. The next prime is 2783095681. The reversal of 2783095680 is 865903872.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2783095681) 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, 26010187 + ... + 26010293.

It is an arithmetic number, because the mean of its divisors is an integer number (19828800).

Almost surely, 2^2783095680 is an apocalyptic number.

2783095680 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 2783095680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5076172800).

2783095680 is an abundant number, since it is smaller than the sum of its proper divisors (7369249920).

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

2783095680 is a wasteful number, since it uses less digits than its factorization.

2783095680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 48.

The square root of 2783095680 is about 52755.0535967882. The cubic root of 2783095680 is about 1406.6175954770.

The spelling of 2783095680 in words is "two billion, seven hundred eighty-three million, ninety-five thousand, six hundred eighty".