2780282880 has 300 divisors, whose sum is σ = 9991313640. Its totient is φ = 739639296.

The previous prime is 2780282861. The next prime is 2780282881. The reversal of 2780282880 is 882820872.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2780282881) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6635311 + ... + 6635729.

Almost surely, 2^2780282880 is an apocalyptic number.

2780282880 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 2780282880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4995656820).

2780282880 is an abundant number, since it is smaller than the sum of its proper divisors (7211030760).

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

2780282880 is an frugal number, since it uses more digits than its factorization.

2780282880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 464 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 229376, while the sum is 45.

The square root of 2780282880 is about 52728.3878001215. The cubic root of 2780282880 is about 1406.1435588769.

The spelling of 2780282880 in words is "two billion, seven hundred eighty million, two hundred eighty-two thousand, eight hundred eighty".