2628690140160 has 704 divisors, whose sum is σ = 11238442675200. Its totient is φ = 569216139264.

The previous prime is 2628690140071. The next prime is 2628690140177. The reversal of 2628690140160 is 610410968262.

2628690140160 is a `hidden beast` number, since 2 + 628 + 6 + 9 + 0 + 1 + 4 + 0 + 16 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18314434 + ... + 18457406.

Almost surely, 2^{2628690140160} is an apocalyptic number.

2628690140160 is a gapful number since it is divisible by the number (20) 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 2628690140160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5619221337600).

2628690140160 is an abundant number, since it is smaller than the sum of its proper divisors (8609752535040).

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

2628690140160 is a wasteful number, since it uses less digits than its factorization.

2628690140160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143033 (or 143009 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 2628690140160 in words is "two trillion, six hundred twenty-eight billion, six hundred ninety million, one hundred forty thousand, one hundred sixty".