2042547840 has 480 divisors, whose sum is σ = 7721031780. Its totient is φ = 514252800.

The previous prime is 2042547827. The next prime is 2042547853. The reversal of 2042547840 is 487452402.

It is an interprime number because it is at equal distance from previous prime (2042547827) and next prime (2042547853).

It can be written as a sum of positive squares in 2 ways, for example, as 1798438464 + 244109376 = 42408^2 + 15624^2 .

It is a tau number, because it is divible by the number of its divisors (480).

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 = 2042547795 and 2042547804.

It is a congruent number.

It is an unprimeable number.

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 59 ways as a sum of consecutive naturals, for example, 49818220 + ... + 49818260.

Almost surely, 2^2042547840 is an apocalyptic number.

2042547840 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 2042547840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3860515890).

2042547840 is an abundant number, since it is smaller than the sum of its proper divisors (5678483940).

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

2042547840 is an equidigital number, since it uses as much as digits as its factorization.

2042547840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 36.

The square root of 2042547840 is about 45194.5554242986. Note that the first 3 decimals coincide. The cubic root of 2042547840 is about 1268.7929176031.

It can be divided in two parts, 20425 and 47840, that added together give a triangular number (68265 = T₃₆₉).

The spelling of 2042547840 in words is "two billion, forty-two million, five hundred forty-seven thousand, eight hundred forty".