2781239040 has 216 divisors, whose sum is σ = 9703669248. Its totient is φ = 735436800.

The previous prime is 2781239029. The next prime is 2781239047. The reversal of 2781239040 is 409321872.

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

It is a junction number, because it is equal to n+sod(n) for n = 2781238986 and 2781239004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2781239047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1462090 + ... + 1463990.

Almost surely, 2^2781239040 is an apocalyptic number.

2781239040 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 2781239040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4851834624).

2781239040 is an abundant number, since it is smaller than the sum of its proper divisors (6922430208).

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

2781239040 is a wasteful number, since it uses less digits than its factorization.

2781239040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2055 (or 2038 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 2781239040 is about 52737.4538634546. The cubic root of 2781239040 is about 1406.3047348177.

The spelling of 2781239040 in words is "two billion, seven hundred eighty-one million, two hundred thirty-nine thousand, forty".