2559020143680 has 4480 divisors, whose sum is σ = 13383304704000. Its totient is φ = 446464327680.

The previous prime is 2559020143601. The next prime is 2559020143703. The reversal of 2559020143680 is 863410209552.

2559020143680 is a `hidden beast` number, since 2 + 5 + 5 + 9 + 0 + 201 + 436 + 8 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 14296201831 + ... + 14296202009.

It is an arithmetic number, because the mean of its divisors is an integer number (2987344800).

Almost surely, 2^{2559020143680} is an apocalyptic number.

2559020143680 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 2559020143680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6691652352000).

2559020143680 is an abundant number, since it is smaller than the sum of its proper divisors (10824284560320).

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

2559020143680 is a wasteful number, since it uses less digits than its factorization.

2559020143680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 2559020143680 in words is "two trillion, five hundred fifty-nine billion, twenty million, one hundred forty-three thousand, six hundred eighty".