2628144852480 has 320 divisors, whose sum is σ = 10669018567680. Its totient is φ = 600718712832.

The previous prime is 2628144852457. The next prime is 2628144852481. The reversal of 2628144852480 is 842584418262.

2628144852480 is a `hidden beast` number, since 2 + 6 + 2 + 81 + 4 + 4 + 85 + 2 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2628144852481) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2232084 + ... + 3199763.

It is an arithmetic number, because the mean of its divisors is an integer number (33340683024).

Almost surely, 2^{2628144852480} is an apocalyptic number.

2628144852480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2628144852480 is an abundant number, since it is smaller than the sum of its proper divisors (8040873715200).

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

2628144852480 is an equidigital number, since it uses as much as digits as its factorization.

2628144852480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5431886 (or 5431864 counting only the distinct ones).

The product of its (nonzero) digits is 7864320, while the sum is 54.

The spelling of 2628144852480 in words is "two trillion, six hundred twenty-eight billion, one hundred forty-four million, eight hundred fifty-two thousand, four hundred eighty".