2782272000 has 320 divisors, whose sum is σ = 9493570944. Its totient is φ = 722534400.

The previous prime is 2782271993. The next prime is 2782272023. The reversal of 2782272000 is 2722872.

It is a tau number, because it is divible by the number of its divisors (320).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8255832 + ... + 8256168.

Almost surely, 2^2782272000 is an apocalyptic number.

2782272000 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 2782272000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4746785472).

2782272000 is an abundant number, since it is smaller than the sum of its proper divisors (6711298944).

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

2782272000 is an equidigital number, since it uses as much as digits as its factorization.

2782272000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 6272, while the sum is 30.

The square root of 2782272000 is about 52747.2463736260. The cubic root of 2782272000 is about 1406.4788151125.

Adding to 2782272000 its reverse (2722872), we get a palindrome (2784994872).

The spelling of 2782272000 in words is "two billion, seven hundred eighty-two million, two hundred seventy-two thousand".