2628339259392 has 768 divisors, whose sum is σ = 9828062899200. Its totient is φ = 682595942400.

The previous prime is 2628339259391. The next prime is 2628339259417. The reversal of 2628339259392 is 2939529338262.

2628339259392 is a `hidden beast` number, since 2 + 6 + 2 + 8 + 3 + 39 + 2 + 593 + 9 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-2 number, since 2×2628339259392² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2628339259391) 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, 344877342 + ... + 344884962.

It is an arithmetic number, because the mean of its divisors is an integer number (12796956900).

Almost surely, 2^{2628339259392} is an apocalyptic number.

2628339259392 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2628339259392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4914031449600).

2628339259392 is an abundant number, since it is smaller than the sum of its proper divisors (7199723639808).

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

2628339259392 is an frugal number, since it uses more digits than its factorization.

2628339259392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7682 (or 7644 counting only the distinct ones).

The product of its digits is 75582720, while the sum is 63.

The spelling of 2628339259392 in words is "two trillion, six hundred twenty-eight billion, three hundred thirty-nine million, two hundred fifty-nine thousand, three hundred ninety-two".