2129040 has 60 divisors (see below), whose sum is σ = 7152444. Its totient is φ = 567552.

The previous prime is 2129027. The next prime is 2129047. The reversal of 2129040 is 409212.

It can be written as a sum of positive squares in 2 ways, for example, as 571536 + 1557504 = 756^2 + 1248^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×2129040² = 9065622643200, which contains 22 as substring.

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

It is a zygodrome in base 3 and base 6.

It is not an unprimeable number, because it can be changed into a prime (2129047) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 759 + ... + 2198.

2^2129040 is an apocalyptic number.

2129040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2129040 is an abundant number, since it is smaller than the sum of its proper divisors (5023404).

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

2129040 is a wasteful number, since it uses less digits than its factorization.

2129040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2976 (or 2967 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 2129040 is about 1459.1230242855. The cubic root of 2129040 is about 128.6455022893.

The spelling of 2129040 in words is "two million, one hundred twenty-nine thousand, forty".