2628006007140 has 192 divisors, whose sum is σ = 8213897664000. Its totient is φ = 697559662080.

The previous prime is 2628006007129. The next prime is 2628006007183. The reversal of 2628006007140 is 417006008262.

2628006007140 is a `hidden beast` number, since 2 + 6 + 2 + 8 + 0 + 0 + 600 + 7 + 1 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2628006007095 and 2628006007104.

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, 171544401 + ... + 171559719.

It is an arithmetic number, because the mean of its divisors is an integer number (42780717000).

Almost surely, 2^{2628006007140} is an apocalyptic number.

2628006007140 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 2628006007140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4106948832000).

2628006007140 is an abundant number, since it is smaller than the sum of its proper divisors (5585891656860).

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

2628006007140 is a wasteful number, since it uses less digits than its factorization.

2628006007140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16787 (or 16779 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 2628006007140 in words is "two trillion, six hundred twenty-eight billion, six million, seven thousand, one hundred forty".