2620532684160 has 1152 divisors, whose sum is σ = 9804460760640. Its totient is φ = 669159014400.

The previous prime is 2620532684083. The next prime is 2620532684167. The reversal of 2620532684160 is 614862350262.

2620532684160 is a `hidden beast` number, since 2 + 6 + 20 + 532 + 6 + 84 + 16 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2620532684167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 15691812397 + ... + 15691812563.

Almost surely, 2^{2620532684160} is an apocalyptic number.

2620532684160 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 2620532684160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4902230380320).

2620532684160 is an abundant number, since it is smaller than the sum of its proper divisors (7183928076480).

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

2620532684160 is an equidigital number, since it uses as much as digits as its factorization.

2620532684160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 2620532684160 in words is "two trillion, six hundred twenty billion, five hundred thirty-two million, six hundred eighty-four thousand, one hundred sixty".