2040400000 has 96 divisors (see below), whose sum is σ = 5081745060. Its totient is φ = 816000000.

The previous prime is 2040399997. The next prime is 2040400001. The reversal of 2040400000 is 40402.

It can be written as a sum of positive squares in 6 ways, for example, as 922701376 + 1117698624 = 30376^2 + 33432^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a self number, because there is not a number n which added to its sum of digits gives 2040400000.

It is not an unprimeable number, because it can be changed into a prime (2040400001) 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, 397450 + ... + 402550.

Almost surely, 2^2040400000 is an apocalyptic number.

2040400000 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 2040400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2540872530).

2040400000 is an abundant number, since it is smaller than the sum of its proper divisors (3041345060).

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

2040400000 is an frugal number, since it uses more digits than its factorization.

2040400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5140 (or 5108 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 10.

The square root of 2040400000 is about 45170.7870199314. The cubic root of 2040400000 is about 1268.3480288062.

Adding to 2040400000 its reverse (40402), we get a palindrome (2040440402).

The spelling of 2040400000 in words is "two billion, forty million, four hundred thousand".