2781880416 has 192 divisors, whose sum is σ = 9308597760. Its totient is φ = 791769600.

The previous prime is 2781880411. The next prime is 2781880427. The reversal of 2781880416 is 6140881872.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2781880411) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1916491 + ... + 1917941.

It is an arithmetic number, because the mean of its divisors is an integer number (48482280).

Almost surely, 2^2781880416 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 2781880416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4654298880).

2781880416 is an abundant number, since it is smaller than the sum of its proper divisors (6526717344).

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

2781880416 is a wasteful number, since it uses less digits than its factorization.

2781880416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1794 (or 1780 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 45.

The square root of 2781880416 is about 52743.5343525631. The cubic root of 2781880416 is about 1406.4128282211.

The spelling of 2781880416 in words is "two billion, seven hundred eighty-one million, eight hundred eighty thousand, four hundred sixteen".