2628504743137 has 64 divisors (see below), whose sum is σ = 3411188121600. Its totient is φ = 1968408288000.

The previous prime is 2628504743113. The next prime is 2628504743149. The reversal of 2628504743137 is 7313474058262.

It is not a de Polignac number, because 2628504743137 - 2³⁵ = 2594145004769 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2628504743237) 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, 547716864 + ... + 547721662.

It is an arithmetic number, because the mean of its divisors is an integer number (53299814400).

Almost surely, 2^{2628504743137} is an apocalyptic number.

It is an amenable number.

2628504743137 is a deficient number, since it is larger than the sum of its proper divisors (782683378463).

2628504743137 is a wasteful number, since it uses less digits than its factorization.

2628504743137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7534.

The product of its (nonzero) digits is 6773760, while the sum is 52.

The spelling of 2628504743137 in words is "two trillion, six hundred twenty-eight billion, five hundred four million, seven hundred forty-three thousand, one hundred thirty-seven".