2251259630347 has 64 divisors (see below), whose sum is σ = 2839649218560. Its totient is φ = 1737365760000.

The previous prime is 2251259630341. The next prime is 2251259630353. The reversal of 2251259630347 is 7430369521522.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2251259630341) and next prime (2251259630353).

It is not a de Polignac number, because 2251259630347 - 2²⁷ = 2251125412619 is a prime.

It is a super-2 number, since 2×2251259630347² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2251259630347.

It is not an unprimeable number, because it can be changed into a prime (2251259630341) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 872918304 + ... + 872920882.

It is an arithmetic number, because the mean of its divisors is an integer number (44369519040).

Almost surely, 2^{2251259630347} is an apocalyptic number.

2251259630347 is a deficient number, since it is larger than the sum of its proper divisors (588389588213).

2251259630347 is a wasteful number, since it uses less digits than its factorization.

2251259630347 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3644.

The product of its (nonzero) digits is 2721600, while the sum is 49.

The spelling of 2251259630347 in words is "two trillion, two hundred fifty-one billion, two hundred fifty-nine million, six hundred thirty thousand, three hundred forty-seven".