2573887680 has 1008 divisors, whose sum is σ = 11762622144. Its totient is φ = 510935040.

The previous prime is 2573887661. The next prime is 2573887699. The reversal of 2573887680 is 867883752.

2573887680 is a `hidden beast` number, since 2 + 573 + 8 + 8 + 7 + 68 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2573887661) and next prime (2573887699).

It is a tau number, because it is divible by the number of its divisors (1008).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 42194850 + ... + 42194910.

It is an arithmetic number, because the mean of its divisors is an integer number (11669268).

Almost surely, 2^2573887680 is an apocalyptic number.

2573887680 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 2573887680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5881311072).

2573887680 is an abundant number, since it is smaller than the sum of its proper divisors (9188734464).

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

2573887680 is a wasteful number, since it uses less digits than its factorization.

2573887680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The square root of 2573887680 is about 50733.4966269821. The cubic root of 2573887680 is about 1370.4500057919.

The spelling of 2573887680 in words is "two billion, five hundred seventy-three million, eight hundred eighty-seven thousand, six hundred eighty".