2400200440 has 64 divisors (see below), whose sum is σ = 5974456320. Its totient is φ = 860496000.

The previous prime is 2400200423. The next prime is 2400200447. The reversal of 2400200440 is 440020042.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2400200447) 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, 7176 + ... + 69655.

It is an arithmetic number, because the mean of its divisors is an integer number (93350880).

Almost surely, 2^2400200440 is an apocalyptic number.

2400200440 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 2400200440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2987228160).

2400200440 is an abundant number, since it is smaller than the sum of its proper divisors (3574255880).

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

2400200440 is a wasteful number, since it uses less digits than its factorization.

2400200440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76924 (or 76920 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

The square root of 2400200440 is about 48991.8405451357. The cubic root of 2400200440 is about 1338.9031716658.

Adding to 2400200440 its reverse (440020042), we get a palindrome (2840220482).

The spelling of 2400200440 in words is "two billion, four hundred million, two hundred thousand, four hundred forty".