2781442944 has 96 divisors (see below), whose sum is σ = 9147331440. Its totient is φ = 794695680.

The previous prime is 2781442943. The next prime is 2781442957. The reversal of 2781442944 is 4492441872.

It is a tau number, because it is divible by the number of its divisors (96).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 2781442944.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2781442943) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 164397 + ... + 180524.

Almost surely, 2^2781442944 is an apocalyptic number.

2781442944 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2781442944 is an abundant number, since it is smaller than the sum of its proper divisors (6365888496).

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

2781442944 is a wasteful number, since it uses less digits than its factorization.

2781442944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344948 (or 344933 counting only the distinct ones).

The product of its digits is 516096, while the sum is 45.

The square root of 2781442944 is about 52739.3870271546. The cubic root of 2781442944 is about 1406.3391012936.

The spelling of 2781442944 in words is "two billion, seven hundred eighty-one million, four hundred forty-two thousand, nine hundred forty-four".