2662106400 has 216 divisors, whose sum is σ = 9690879744. Its totient is φ = 686937600.

The previous prime is 2662106341. The next prime is 2662106401. The reversal of 2662106400 is 46012662.

It is a happy number.

2662106400 is a `hidden beast` number, since 2 + 6 + 6 + 2 + 10 + 640 + 0 = 666.

It is a super-3 number, since 3×2662106400³ (a number of 29 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (2662106401) 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 35 ways as a sum of consecutive naturals, for example, 217237 + ... + 229163.

It is an arithmetic number, because the mean of its divisors is an integer number (44865184).

Almost surely, 2^2662106400 is an apocalyptic number.

2662106400 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 2662106400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4845439872).

2662106400 is an abundant number, since it is smaller than the sum of its proper divisors (7028773344).

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

2662106400 is a wasteful number, since it uses less digits than its factorization.

2662106400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11984 (or 11968 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 2662106400 is about 51595.6044639463. The cubic root of 2662106400 is about 1385.9316195970.

The spelling of 2662106400 in words is "two billion, six hundred sixty-two million, one hundred six thousand, four hundred".