2634755515249 has 27 divisors (see below), whose sum is σ = 3136239643467. Its totient is φ = 2210788866000.

The previous prime is 2634755515187. The next prime is 2634755515313. The reversal of 2634755515249 is 9425155574362.

The square root of 2634755515249 is 1623193.

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

It can be written as a sum of positive squares in only one way, i.e., 389756733025 + 2244998782224 = 624305^2 + 1498332^2 .

It is not a de Polignac number, because 2634755515249 - 2⁹ = 2634755514737 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2634755515193 and 2634755515202.

It is not an unprimeable number, because it can be changed into a prime (2634755515649) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 232110924 + ... + 232122274.

Almost surely, 2^{2634755515249} is an apocalyptic number.

2634755515249 is the 1623193-rd square number.

2634755515249 is the 811597-th centered octagonal number.

It is an amenable number.

2634755515249 is a deficient number, since it is larger than the sum of its proper divisors (501484128218).

2634755515249 is an frugal number, since it uses more digits than its factorization.

2634755515249 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22750 (or 11375 counting only the distinct ones).

The product of its digits is 45360000, while the sum is 58.

The spelling of 2634755515249 in words is "two trillion, six hundred thirty-four billion, seven hundred fifty-five million, five hundred fifteen thousand, two hundred forty-nine".