2512627338 has 64 divisors (see below), whose sum is σ = 5611213440. Its totient is φ = 744753408.

The previous prime is 2512627331. The next prime is 2512627363. The reversal of 2512627338 is 8337262152.

It is a super-2 number, since 2×2512627338² = 12626592279329932488, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 2512627296 and 2512627305.

It is not an unprimeable number, because it can be changed into a prime (2512627331) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1272520 + ... + 1274492.

It is an arithmetic number, because the mean of its divisors is an integer number (87675210).

Almost surely, 2^2512627338 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2512627338, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2805606720).

2512627338 is an abundant number, since it is smaller than the sum of its proper divisors (3098586102).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2512627338 is a wasteful number, since it uses less digits than its factorization.

2512627338 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2583.

The product of its digits is 120960, while the sum is 39.

The square root of 2512627338 is about 50126.1143317533. The cubic root of 2512627338 is about 1359.4900297449.

The spelling of 2512627338 in words is "two billion, five hundred twelve million, six hundred twenty-seven thousand, three hundred thirty-eight".