2666400 has 144 divisors (see below), whose sum is σ = 9561888. Its totient is φ = 640000.

The previous prime is 2666393. The next prime is 2666423. The reversal of 2666400 is 46662.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26350 + ... + 26450.

It is an arithmetic number, because the mean of its divisors is an integer number (66402).

2^2666400 is an apocalyptic number.

2666400 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 2666400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4780944).

2666400 is an abundant number, since it is smaller than the sum of its proper divisors (6895488).

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

2666400 is a wasteful number, since it uses less digits than its factorization.

2666400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 2666400 is about 1632.9115101560. The cubic root of 2666400 is about 138.6676323075.

It can be divided in two parts, 266 and 6400, that added together give a palindrome (6666).

The spelling of 2666400 in words is "two million, six hundred sixty-six thousand, four hundred".