2528731820160 has 1920 divisors, whose sum is σ = 11478911598000. Its totient is φ = 525724286976.

The previous prime is 2528731820143. The next prime is 2528731820177. The reversal of 2528731820160 is 610281378252.

2528731820160 is a `hidden beast` number, since 2 + 52 + 87 + 318 + 201 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2528731820143) and next prime (2528731820177).

It can be written as a sum of positive squares in 8 ways, for example, as 1277966942784 + 1250764877376 = 1130472^2 + 1118376^2 .

It is a tau number, because it is divible by the number of its divisors (1920).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 239 ways as a sum of consecutive naturals, for example, 2410611316 + ... + 2410612364.

Almost surely, 2^{2528731820160} is an apocalyptic number.

2528731820160 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 2528731820160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5739455799000).

2528731820160 is an abundant number, since it is smaller than the sum of its proper divisors (8950179777840).

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

2528731820160 is a wasteful number, since it uses less digits than its factorization.

2528731820160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1180 (or 1152 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 2528731820160 in words is "two trillion, five hundred twenty-eight billion, seven hundred thirty-one million, eight hundred twenty thousand, one hundred sixty".