2663400 has 96 divisors (see below), whose sum is σ = 8660160. Its totient is φ = 675840.

The previous prime is 2663393. The next prime is 2663429. The reversal of 2663400 is 43662.

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, 13704 + ... + 13896.

It is an arithmetic number, because the mean of its divisors is an integer number (90210).

2^2663400 is an apocalyptic number.

2663400 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 2663400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4330080).

2663400 is an abundant number, since it is smaller than the sum of its proper divisors (5996760).

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

2663400 is a wasteful number, since it uses less digits than its factorization.

2663400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 2663400 is about 1631.9926470423. The cubic root of 2663400 is about 138.6156072286.

The spelling of 2663400 in words is "two million, six hundred sixty-three thousand, four hundred".