2781197440 has 128 divisors (see below), whose sum is σ = 7861017600. Its totient is φ = 920629248.

The previous prime is 2781197437. The next prime is 2781197453. The reversal of 2781197440 is 447911872.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 119217 + ... + 140623.

It is an arithmetic number, because the mean of its divisors is an integer number (61414200).

Almost surely, 2^2781197440 is an apocalyptic number.

2781197440 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 2781197440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3930508800).

2781197440 is an abundant number, since it is smaller than the sum of its proper divisors (5079820160).

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

2781197440 is a wasteful number, since it uses less digits than its factorization.

2781197440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21462 (or 21450 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 43.

The square root of 2781197440 is about 52737.0594553773. The cubic root of 2781197440 is about 1406.2977232463.

The spelling of 2781197440 in words is "two billion, seven hundred eighty-one million, one hundred ninety-seven thousand, four hundred forty".