2978224128 has 288 divisors, whose sum is σ = 9661513680. Its totient is φ = 875888640.

The previous prime is 2978224127. The next prime is 2978224129. The reversal of 2978224128 is 8214228792.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2978224127) and next prime (2978224129).

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2978224121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7501626 + ... + 7502022.

Almost surely, 2^2978224128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2978224128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4830756840).

2978224128 is an abundant number, since it is smaller than the sum of its proper divisors (6683289552).

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

2978224128 is a wasteful number, since it uses less digits than its factorization.

2978224128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 473 (or 450 counting only the distinct ones).

The product of its digits is 258048, while the sum is 45.

The square root of 2978224128 is about 54573.1081028010. The cubic root of 2978224128 is about 1438.7515104567.

The spelling of 2978224128 in words is "two billion, nine hundred seventy-eight million, two hundred twenty-four thousand, one hundred twenty-eight".