2781246144 has 112 divisors (see below), whose sum is σ = 7768010880. Its totient is φ = 875796480.

The previous prime is 2781246133. The next prime is 2781246187. The reversal of 2781246144 is 4416421872.

It is a super-2 number, since 2×2781246144² = 15470660227029737472, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1615204 + ... + 1616924.

It is an arithmetic number, because the mean of its divisors is an integer number (69357240).

Almost surely, 2^2781246144 is an apocalyptic number.

2781246144 is a gapful number since it is divisible by the number (24) 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 2781246144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3884005440).

2781246144 is an abundant number, since it is smaller than the sum of its proper divisors (4986764736).

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

2781246144 is a wasteful number, since it uses less digits than its factorization.

2781246144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2198 (or 2188 counting only the distinct ones).

The product of its digits is 86016, while the sum is 39.

The square root of 2781246144 is about 52737.5212159237. The cubic root of 2781246144 is about 1406.3059321714.

The spelling of 2781246144 in words is "two billion, seven hundred eighty-one million, two hundred forty-six thousand, one hundred forty-four".