2781559872 has 672 divisors, whose sum is σ = 10838688000. Its totient is φ = 694987776.

The previous prime is 2781559871. The next prime is 2781559933. The reversal of 2781559872 is 2789551872.

2781559872 is a `hidden beast` number, since 2 + 7 + 8 + 1 + 559 + 87 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (2781559871) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 146397879 + ... + 146397897.

It is an arithmetic number, because the mean of its divisors is an integer number (16129000).

Almost surely, 2^2781559872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2781559872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5419344000).

2781559872 is an abundant number, since it is smaller than the sum of its proper divisors (8057128128).

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

2781559872 is a wasteful number, since it uses less digits than its factorization.

2781559872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 44 counting only the distinct ones).

The product of its digits is 2822400, while the sum is 54.

The square root of 2781559872 is about 52740.4955608117. The cubic root of 2781559872 is about 1406.3588078653.

The spelling of 2781559872 in words is "two billion, seven hundred eighty-one million, five hundred fifty-nine thousand, eight hundred seventy-two".