2042191440 has 420 divisors, whose sum is σ = 7590740724. Its totient is φ = 510603264.

The previous prime is 2042191439. The next prime is 2042191441. The reversal of 2042191440 is 441912402.

It is a happy number.

2042191440 is a `hidden beast` number, since 2 + 0 + 4 + 219 + 1 + 440 = 666.

It is an interprime number because it is at equal distance from previous prime (2042191439) and next prime (2042191441).

It can be written as a sum of positive squares in 2 ways, for example, as 825297984 + 1216893456 = 28728^2 + 34884^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2042191441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 21053472 + ... + 21053568.

Almost surely, 2^2042191440 is an apocalyptic number.

2042191440 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 2042191440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3795370362).

2042191440 is an abundant number, since it is smaller than the sum of its proper divisors (5548549284).

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

2042191440 is an equidigital number, since it uses as much as digits as its factorization.

2042191440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 2042191440 is about 45190.6122994588. The cubic root of 2042191440 is about 1268.7191169491.

The spelling of 2042191440 in words is "two billion, forty-two million, one hundred ninety-one thousand, four hundred forty".