2781250560 has 704 divisors, whose sum is σ = 11319091200. Its totient is φ = 641433600.

The previous prime is 2781250547. The next prime is 2781250603. The reversal of 2781250560 is 650521872.

It is a happy number.

2781250560 is a `hidden beast` number, since 2 + 78 + 1 + 25 + 0 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (704).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 47139811 + ... + 47139869.

Almost surely, 2^2781250560 is an apocalyptic number.

2781250560 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 2781250560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5659545600).

2781250560 is an abundant number, since it is smaller than the sum of its proper divisors (8537840640).

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

2781250560 is a wasteful number, since it uses less digits than its factorization.

2781250560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 2781250560 is about 52737.5630836314. The cubic root of 2781250560 is about 1406.3066764713.

The spelling of 2781250560 in words is "two billion, seven hundred eighty-one million, two hundred fifty thousand, five hundred sixty".