2979300384225 has 225 divisors, whose sum is σ = 6089736252985. Its totient is φ = 1439952465600.

The previous prime is 2979300384223. The next prime is 2979300384251. The reversal of 2979300384225 is 5224830039792.

The square root of 2979300384225 is 1726065.

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

2979300384225 is a `hidden beast` number, since 2 + 9 + 7 + 9 + 30 + 0 + 384 + 225 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1202582004129 + 1776718380096 = 1096623^2 + 1332936^2 .

It is a tau number, because it is divible by the number of its divisors (225).

It is not a de Polignac number, because 2979300384225 - 2¹ = 2979300384223 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2979300384223) by changing a digit.

It is a polite number, since it can be written in 224 ways as a sum of consecutive naturals, for example, 9398423767 + ... + 9398424083.

Almost surely, 2^{2979300384225} is an apocalyptic number.

2979300384225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2979300384225 is the 1726065-th square number.

2979300384225 is the 863033-rd centered octagonal number.

It is an amenable number.

2979300384225 is an abundant number, since it is smaller than the sum of its proper divisors (3110435868760).

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

2979300384225 is an frugal number, since it uses more digits than its factorization.

2979300384225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 700 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 2979300384225 in words is "two trillion, nine hundred seventy-nine billion, three hundred million, three hundred eighty-four thousand, two hundred twenty-five".