2626125336352 has 96 divisors (see below), whose sum is σ = 6059310364800. Its totient is φ = 1096868382720.

The previous prime is 2626125336343. The next prime is 2626125336389. The reversal of 2626125336352 is 2536335216262.

It is a super-3 number, since 3×2626125336352³ (a number of 38 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8546274 + ... + 8848222.

It is an arithmetic number, because the mean of its divisors is an integer number (63117816300).

Almost surely, 2^{2626125336352} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2626125336352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3029655182400).

2626125336352 is an abundant number, since it is smaller than the sum of its proper divisors (3433185028448).

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

2626125336352 is a wasteful number, since it uses less digits than its factorization.

2626125336352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302954 (or 302946 counting only the distinct ones).

The product of its digits is 2332800, while the sum is 46.

The spelling of 2626125336352 in words is "two trillion, six hundred twenty-six billion, one hundred twenty-five million, three hundred thirty-six thousand, three hundred fifty-two".