2672256000 has 176 divisors, whose sum is σ = 8890202880. Its totient is φ = 712499200.

The previous prime is 2672255983. The next prime is 2672256001. The reversal of 2672256000 is 6522762.

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

It is not an unprimeable number, because it can be changed into a prime (2672256001) 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 15 ways as a sum of consecutive naturals, for example, 380521 + ... + 387479.

Almost surely, 2^2672256000 is an apocalyptic number.

2672256000 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 2672256000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4445101440).

2672256000 is an abundant number, since it is smaller than the sum of its proper divisors (6217946880).

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

2672256000 is an equidigital number, since it uses as much as digits as its factorization.

2672256000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6997 (or 6969 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 2672256000 is about 51693.8681083163. The cubic root of 2672256000 is about 1387.6907294011.

Adding to 2672256000 its reverse (6522762), we get a palindrome (2678778762).

The spelling of 2672256000 in words is "two billion, six hundred seventy-two million, two hundred fifty-six thousand".