2944972800 has 864 divisors, whose sum is σ = 13307898240. Its totient is φ = 604569600.

The previous prime is 2944972763. The next prime is 2944972837. The reversal of 2944972800 is 82794492.

It is an interprime number because it is at equal distance from previous prime (2944972763) and next prime (2944972837).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 35481559 + ... + 35481641.

It is an arithmetic number, because the mean of its divisors is an integer number (15402660).

Almost surely, 2^2944972800 is an apocalyptic number.

2944972800 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 2944972800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6653949120).

2944972800 is an abundant number, since it is smaller than the sum of its proper divisors (10362925440).

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

2944972800 is a wasteful number, since it uses less digits than its factorization.

2944972800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 2944972800 is about 54267.6035955154. The cubic root of 2944972800 is about 1433.3769928411.

The spelling of 2944972800 in words is "two billion, nine hundred forty-four million, nine hundred seventy-two thousand, eight hundred".