2670822400 has 297 divisors, whose sum is σ = 7422374919. Its totient is φ = 952565760.

The previous prime is 2670822377. The next prime is 2670822403. The reversal of 2670822400 is 42280762.

The square root of 2670822400 is 51680.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 62473216 + 2608349184 = 7904^2 + 51072^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2670822403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 140569591 + ... + 140569609.

Almost surely, 2^2670822400 is an apocalyptic number.

2670822400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2670822400 is the 51680-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2670822400

2670822400 is an abundant number, since it is smaller than the sum of its proper divisors (4751552519).

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

2670822400 is a wasteful number, since it uses less digits than its factorization.

2670822400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 43 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 31.

The cubic root of 2670822400 is about 1387.4425309639.

The spelling of 2670822400 in words is "two billion, six hundred seventy million, eight hundred twenty-two thousand, four hundred".