2429218374025 has 27 divisors (see below), whose sum is σ = 3149123893909. Its totient is φ = 1858742990720.

The previous prime is 2429218373929. The next prime is 2429218374059. The reversal of 2429218374025 is 5204738129242.

The square root of 2429218374025 is 1558595.

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 59921654521 + 2369296719504 = 244789^2 + 1539252^2 .

It is not a de Polignac number, because 2429218374025 - 2⁹ = 2429218373513 is a prime.

It is a super-2 number, since 2×2429218374025² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2429218374025.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 179231649 + ... + 179245201.

Almost surely, 2^{2429218374025} is an apocalyptic number.

2429218374025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2429218374025 is the 1558595-th square number.

2429218374025 is the 779298-th centered octagonal number.

It is an amenable number.

2429218374025 is a deficient number, since it is larger than the sum of its proper divisors (719905519884).

2429218374025 is an frugal number, since it uses more digits than its factorization.

2429218374025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27162 (or 13581 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 49.

Multiplying 2429218374025 by its sum of digits (49), we get a square (119031700327225 = 10910165²).

The spelling of 2429218374025 in words is "two trillion, four hundred twenty-nine billion, two hundred eighteen million, three hundred seventy-four thousand, twenty-five".