2040014040 has 256 divisors, whose sum is σ = 6689088000. Its totient is φ = 496005120.

The previous prime is 2040014029. The next prime is 2040014047. The reversal of 2040014040 is 404100402.

It is a Harshad number since it is a multiple of its sum of digits (15).

2040014040 is a modest number, since divided by 14040 gives 2040 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2040014047) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12993642 + ... + 12993798.

It is an arithmetic number, because the mean of its divisors is an integer number (26129250).

Almost surely, 2^2040014040 is an apocalyptic number.

2040014040 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 2040014040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3344544000).

2040014040 is an abundant number, since it is smaller than the sum of its proper divisors (4649073960).

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

2040014040 is a wasteful number, since it uses less digits than its factorization.

2040014040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 2040014040 is about 45166.5145876898. The cubic root of 2040014040 is about 1268.2680506198.

Adding to 2040014040 its reverse (404100402), we get a palindrome (2444114442).

The spelling of 2040014040 in words is "two billion, forty million, fourteen thousand, forty".