2781442020 has 192 divisors, whose sum is σ = 9135544320. Its totient is φ = 619204608.

The previous prime is 2781442007. The next prime is 2781442021. The reversal of 2781442020 is 202441872.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (2781442021) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2729071 + ... + 2730089.

It is an arithmetic number, because the mean of its divisors is an integer number (47580960).

Almost surely, 2^2781442020 is an apocalyptic number.

2781442020 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 2781442020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4567772160).

2781442020 is an abundant number, since it is smaller than the sum of its proper divisors (6354102300).

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

2781442020 is a wasteful number, since it uses less digits than its factorization.

2781442020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1202 (or 1200 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 30.

The square root of 2781442020 is about 52739.3782670975. The cubic root of 2781442020 is about 1406.3389455642.

Adding to 2781442020 its reverse (202441872), we get a palindrome (2983883892).

The spelling of 2781442020 in words is "two billion, seven hundred eighty-one million, four hundred forty-two thousand, twenty".