2945030400 has 1080 divisors, whose sum is σ = 12880633920. Its totient is φ = 656916480.

The previous prime is 2945030399. The next prime is 2945030401. The reversal of 2945030400 is 40305492.

It is an interprime number because it is at equal distance from previous prime (2945030399) and next prime (2945030401).

It is a tau number, because it is divible by the number of its divisors (1080).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2945030401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 128044789 + ... + 128044811.

Almost surely, 2^2945030400 is an apocalyptic number.

2945030400 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 2945030400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6440316960).

2945030400 is an abundant number, since it is smaller than the sum of its proper divisors (9935603520).

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

2945030400 is a wasteful number, since it uses less digits than its factorization.

2945030400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 2945030400 is about 54268.1342962885. The cubic root of 2945030400 is about 1433.3863378031.

Adding to 2945030400 its reverse (40305492), we get a palindrome (2985335892).

The spelling of 2945030400 in words is "two billion, nine hundred forty-five million, thirty thousand, four hundred".