2914380225 has 81 divisors (see below), whose sum is σ = 5398428009. Its totient is φ = 1502942400.

The previous prime is 2914380223. The next prime is 2914380233. The reversal of 2914380225 is 5220834192.

It is a happy number.

The square root of 2914380225 is 53985.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1342416321 + 1571963904 = 36639^2 + 39648^2 .

It is not a de Polignac number, because 2914380225 - 2¹ = 2914380223 is a prime.

It is a super-2 number, since 2×2914380225² = 16987224191742101250, which contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 2914380225.

It is not an unprimeable number, because it can be changed into a prime (2914380223) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 47776695 + ... + 47776755.

Almost surely, 2^2914380225 is an apocalyptic number.

2914380225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2914380225 is the 53985-th square number.

2914380225 is the 26993-rd centered octagonal number.

It is an amenable number.

2914380225 is a deficient number, since it is larger than the sum of its proper divisors (2484047784).

2914380225 is an equidigital number, since it uses as much as digits as its factorization.

2914380225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The cubic root of 2914380225 is about 1428.3963676794.

Multiplying 2914380225 by its sum of digits (36), we get a square (104917688100 = 323910²).

The spelling of 2914380225 in words is "two billion, nine hundred fourteen million, three hundred eighty thousand, two hundred twenty-five".