2399040400 has 135 divisors (see below), whose sum is σ = 6031959633. Its totient is φ = 916905600.

The previous prime is 2399040361. The next prime is 2399040403. The reversal of 2399040400 is 40409932.

The square root of 2399040400 is 48980.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 863654544 + 1535385856 = 29388^2 + 39184^2 .

It is a Harshad number since it is a multiple of its sum of digits (31).

It is not an unprimeable number, because it can be changed into a prime (2399040403) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 30367561 + ... + 30367639.

Almost surely, 2^2399040400 is an apocalyptic number.

2399040400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2399040400 is the 48980-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2399040400

2399040400 is an abundant number, since it is smaller than the sum of its proper divisors (3632919233).

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

2399040400 is an equidigital number, since it uses as much as digits as its factorization.

2399040400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 31.

The cubic root of 2399040400 is about 1338.6874353049.

The spelling of 2399040400 in words is "two billion, three hundred ninety-nine million, forty thousand, four hundred".