2944400400 has 90 divisors (see below), whose sum is σ = 10217899770. Its totient is φ = 785172480.

The previous prime is 2944400359. The next prime is 2944400441. The reversal of 2944400400 is 40044492.

It is an interprime number because it is at equal distance from previous prime (2944400359) and next prime (2944400441).

It can be written as a sum of positive squares in 3 ways, for example, as 110754576 + 2833645824 = 10524^2 + 53232^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 405345 + ... + 412544.

Almost surely, 2^2944400400 is an apocalyptic number.

2944400400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2944400400 is an abundant number, since it is smaller than the sum of its proper divisors (7273499370).

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

2944400400 is a wasteful number, since it uses less digits than its factorization.

2944400400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 817913 (or 817899 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 2944400400 is about 54262.3294745075. The cubic root of 2944400400 is about 1433.2841206587.

Adding to 2944400400 its reverse (40044492), we get a palindrome (2984444892).

The spelling of 2944400400 in words is "two billion, nine hundred forty-four million, four hundred thousand, four hundred".