2978328400 has 60 divisors (see below), whose sum is σ = 7226377884. Its totient is φ = 1179520000.

The previous prime is 2978328371. The next prime is 2978328407. The reversal of 2978328400 is 48238792.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 1098304 + 2977230096 = 1048^2 + 54564^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2978328407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3540 + ... + 77260.

Almost surely, 2^2978328400 is an apocalyptic number.

2978328400 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 2978328400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3613188942).

2978328400 is an abundant number, since it is smaller than the sum of its proper divisors (4248049484).

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

2978328400 is a wasteful number, since it uses less digits than its factorization.

2978328400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73840 (or 73829 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 43.

The square root of 2978328400 is about 54574.0634367645. The cubic root of 2978328400 is about 1438.7683011951.

The spelling of 2978328400 in words is "two billion, nine hundred seventy-eight million, three hundred twenty-eight thousand, four hundred".