2042724540 has 96 divisors (see below), whose sum is σ = 5947361280. Its totient is φ = 523296000.

The previous prime is 2042724517. The next prime is 2042724577. The reversal of 2042724540 is 454272402.

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

It is a junction number, because it is equal to n+sod(n) for n = 2042724498 and 2042724507.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 254590 + ... + 262490.

It is an arithmetic number, because the mean of its divisors is an integer number (61951680).

Almost surely, 2^2042724540 is an apocalyptic number.

2042724540 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 2042724540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2973680640).

2042724540 is an abundant number, since it is smaller than the sum of its proper divisors (3904636740).

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

2042724540 is a wasteful number, since it uses less digits than its factorization.

2042724540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8083 (or 8081 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 30.

The square root of 2042724540 is about 45196.5102635148. The cubic root of 2042724540 is about 1268.8295041381.

Adding to 2042724540 its reverse (454272402), we get a palindrome (2496996942).

The spelling of 2042724540 in words is "two billion, forty-two million, seven hundred twenty-four thousand, five hundred forty".