2628984314880 has 2640 divisors, whose sum is σ = 12604692355200. Its totient is φ = 516694671360.

The previous prime is 2628984314837. The next prime is 2628984314911. The reversal of 2628984314880 is 884134898262.

2628984314880 is a `hidden beast` number, since 2 + 6 + 2 + 89 + 8 + 431 + 48 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (2640).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 4247147211 + ... + 4247147829.

It is an arithmetic number, because the mean of its divisors is an integer number (4774504680).

Almost surely, 2^{2628984314880} is an apocalyptic number.

2628984314880 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 2628984314880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6302346177600).

2628984314880 is an abundant number, since it is smaller than the sum of its proper divisors (9975708040320).

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

2628984314880 is a wasteful number, since it uses less digits than its factorization.

2628984314880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 700 (or 666 counting only the distinct ones).

The product of its (nonzero) digits is 42467328, while the sum is 63.

The spelling of 2628984314880 in words is "two trillion, six hundred twenty-eight billion, nine hundred eighty-four million, three hundred fourteen thousand, eight hundred eighty".