2039400 has 144 divisors (see below), whose sum is σ = 7544160. Its totient is φ = 489600.

The previous prime is 2039383. The next prime is 2039407. The reversal of 2039400 is 49302.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2039407) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 19749 + ... + 19851.

It is an arithmetic number, because the mean of its divisors is an integer number (52390).

2^2039400 is an apocalyptic number.

2039400 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 2039400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3772080).

2039400 is an abundant number, since it is smaller than the sum of its proper divisors (5504760).

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

2039400 is a wasteful number, since it uses less digits than its factorization.

2039400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 2039400 is about 1428.0756282494. The cubic root of 2039400 is about 126.8140789165.

Subtracting from 2039400 its product of nonzero digits (216), we obtain a square (2039184 = 1428²).

The spelling of 2039400 in words is "two million, thirty-nine thousand, four hundred".