2978430625 has 45 divisors (see below), whose sum is σ = 3891088047. Its totient is φ = 2279052000.

The previous prime is 2978430607. The next prime is 2978430629. The reversal of 2978430625 is 5260348792.

The square root of 2978430625 is 54575.

It is a perfect power (a square), and thus also a powerful number.

2978430625 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 7 ways, for example, as 988913809 + 1989516816 = 31447^2 + 44604^2 .

It is not a de Polignac number, because 2978430625 - 2¹⁷ = 2978299553 is a prime.

It is a Duffinian number.

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 44 ways as a sum of consecutive naturals, for example, 50481846 + ... + 50481904.

Almost surely, 2^2978430625 is an apocalyptic number.

2978430625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2978430625 is the 54575-th square number.

2978430625 is the 27288-th centered octagonal number.

It is an amenable number.

2978430625 is a deficient number, since it is larger than the sum of its proper divisors (912657422).

2978430625 is an frugal number, since it uses more digits than its factorization.

2978430625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 46.

The cubic root of 2978430625 is about 1438.7847619282.

The spelling of 2978430625 in words is "two billion, nine hundred seventy-eight million, four hundred thirty thousand, six hundred twenty-five".