2780743680 has 576 divisors, whose sum is σ = 11376106560. Its totient is φ = 619315200.

The previous prime is 2780743649. The next prime is 2780743687. The reversal of 2780743680 is 863470872.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (2780743687) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 13178775 + ... + 13178985.

It is an arithmetic number, because the mean of its divisors is an integer number (19750185).

Almost surely, 2^2780743680 is an apocalyptic number.

2780743680 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 2780743680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5688053280).

2780743680 is an abundant number, since it is smaller than the sum of its proper divisors (8595362880).

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

2780743680 is a wasteful number, since it uses less digits than its factorization.

2780743680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The square root of 2780743680 is about 52732.7571818504. The cubic root of 2780743680 is about 1406.2212386414.

The spelling of 2780743680 in words is "two billion, seven hundred eighty million, seven hundred forty-three thousand, six hundred eighty".