2978430624 has 144 divisors (see below), whose sum is σ = 9149868000. Its totient is φ = 913586688.

The previous prime is 2978430607. The next prime is 2978430629. The reversal of 2978430624 is 4260348792.

It is a Cunningham number, because it is equal to 54575²-1.

It is a tau number, because it is divible by the number of its divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 2978430624.

It is not an unprimeable number, because it can be changed into a prime (2978430629) 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, 1417927 + ... + 1420025.

It is an arithmetic number, because the mean of its divisors is an integer number (63540750).

Almost surely, 2^2978430624 is an apocalyptic number.

2978430624 is a gapful number since it is divisible by the number (24) 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 2978430624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4574934000).

2978430624 is an abundant number, since it is smaller than the sum of its proper divisors (6171437376).

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

2978430624 is a wasteful number, since it uses less digits than its factorization.

2978430624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2507 (or 2496 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 2978430624 is about 54574.9999908383. Note that the first 5 decimals coincide. The cubic root of 2978430624 is about 1438.7847617672.

The spelling of 2978430624 in words is "two billion, nine hundred seventy-eight million, four hundred thirty thousand, six hundred twenty-four".