2029440 has 128 divisors (see below), whose sum is σ = 7441920. Its totient is φ = 460800.

The previous prime is 2029439. The next prime is 2029441. The reversal of 2029440 is 449202.

It is an interprime number because it is at equal distance from previous prime (2029439) and next prime (2029441).

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2029441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13365 + ... + 13515.

It is an arithmetic number, because the mean of its divisors is an integer number (58140).

2^2029440 is an apocalyptic number.

2029440 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 2029440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3720960).

2029440 is an abundant number, since it is smaller than the sum of its proper divisors (5412480).

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

2029440 is a wasteful number, since it uses less digits than its factorization.

2029440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 2029440 is about 1424.5841498486. The cubic root of 2029440 is about 126.6072975087.

The spelling of 2029440 in words is "two million, twenty-nine thousand, four hundred forty".