2689400 has 96 divisors (see below), whose sum is σ = 7633440. Its totient is φ = 860160.

The previous prime is 2689399. The next prime is 2689403. The reversal of 2689400 is 49862.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2689403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23744 + ... + 23856.

It is an arithmetic number, because the mean of its divisors is an integer number (79515).

2^2689400 is an apocalyptic number.

2689400 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 2689400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3816720).

2689400 is an abundant number, since it is smaller than the sum of its proper divisors (4944040).

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

2689400 is a wasteful number, since it uses less digits than its factorization.

2689400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

The square root of 2689400 is about 1639.9390232567. The cubic root of 2689400 is about 139.0652006798.

The spelling of 2689400 in words is "two million, six hundred eighty-nine thousand, four hundred".