2698249743225 has 135 divisors (see below), whose sum is σ = 5051087218749. Its totient is φ = 1423967428800.

The previous prime is 2698249743199. The next prime is 2698249743251. The reversal of 2698249743225 is 5223479428962.

The square root of 2698249743225 is 1642635.

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

2698249743225 is a `hidden beast` number, since 2 + 6 + 9 + 82 + 497 + 43 + 2 + 25 = 666.

It is an interprime number because it is at equal distance from previous prime (2698249743199) and next prime (2698249743251).

It can be written as a sum of positive squares in 4 ways, for example, as 297039170169 + 2401210573056 = 545013^2 + 1549584^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is not a de Polignac number, because 2698249743225 - 2⁷ = 2698249743097 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 12787913370 + ... + 12787913580.

Almost surely, 2^{2698249743225} is an apocalyptic number.

2698249743225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2698249743225 is the 1642635-th square number.

2698249743225 is the 821318-th centered octagonal number.

It is an amenable number.

2698249743225 is a deficient number, since it is larger than the sum of its proper divisors (2352837475524).

2698249743225 is an frugal number, since it uses more digits than its factorization.

2698249743225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 790 (or 392 counting only the distinct ones).

The product of its digits is 104509440, while the sum is 63.

The spelling of 2698249743225 in words is "two trillion, six hundred ninety-eight billion, two hundred forty-nine million, seven hundred forty-three thousand, two hundred twenty-five".